Physics and Astronomy › Nuclear and High Energy Physics

Black Holes and Theoretical Physics

Works Count: 128558

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Description

This cluster of papers focuses on the holographic derivation of field theories and gravity, particularly in the context of string theory, quantum entanglement, black holes, AdS/CFT correspondence, supergravity, and conformal symmetry. It explores various aspects such as viscosity, entropy, enthalpy, and the thermodynamics of black holes in the holographic context.

Keywords

Holographic; Field Theories; Gravity; String Theory; Quantum Entanglement; Black Holes; AdS/CFT Correspondence; Supergravity; Conformal Symmetry; Quantum Gravity

Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory

1994-09-01

Nathan Seiberg , Edward Witten

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Black hole in three-dimensional spacetime

1992-09-28

Máximo Bañados , Claudio Teitelboim , Jorge Zanelli

The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution. The 2+1 black hole---characterized by mass, angular momentum, and charge, defined by … The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution. The 2+1 black hole---characterized by mass, angular momentum, and charge, defined by flux integrals at infinity---is quite similar to its 3+1 counterpart. Anti--de Sitter space appears as a negative energy state separated by a mass gap from the continuous black hole spectrum. Evaluation of the partition function yields that the entropy is equal to twice the perimeter length of the horizon.

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Anti de Sitter space and holography

1998-01-01

Edward Witten

Recently, it has been proposed by Maldacena that large N limits of certain conformal field theories in d dimensions can be described in terms of supergravity (and string theory) on … Recently, it has been proposed by Maldacena that large N limits of certain conformal field theories in d dimensions can be described in terms of supergravity (and string theory) on the product of d 4-1dimensional AdS space with a compact manifold.Here we elaborate on this idea and propose a precise correspondence between conformal field theory observables and those of supergravity: correlation functions in conformal field theory are given by the dependence of the supergravity action on the asymptotic behavior at infinity.In particular, dimensions of operators in conformal field theory are given by masses of particles in supergravity.As quantitative confirmation of this correspondence, we note that the Kaluza-Klein modes of Type IIB supergravity on AdS^ x S 5 match with the chiral operators of Af = 4 super Yang-Mills theory in four dimensions.With some further assumptions, one can deduce a H'amiltonian version of the correspondence and show that the Af = 4 theory has a large N phase transition related to the thermodynamics of AdS black holes.

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Vacuum configurations for superstrings

1985-01-01

Philip Candelas , Gary T. Horowitz , Andrew Strominger +1 more

Global aspects of current algebra

1983-08-01

Edward Witten

Vortex-line models for dual strings

1973-09-01

H. B. Nielsen , P. Olesen

General relativity with spin and torsion: Foundations and prospects

1976-07-01

Friedrich W. Hehl , Paul von der Heyde , G. David Kerlick +1 more

A generalization of Einstein's gravitational theory is discussed in which the spin of matter as well as its mass plays a dynamical role. The spin of matter couples to a … A generalization of Einstein's gravitational theory is discussed in which the spin of matter as well as its mass plays a dynamical role. The spin of matter couples to a non-Riemannian structure in space-time, Cartan's torsion tensor. The theory which emerges from taking this coupling into account, the ${U}_{4}$ theory of gravitation, predicts, in addition to the usual infinite-range gravitational interaction medicated by the metric field, a new, very weak, spin contact interaction of gravitational origin. We summarize here all the available theoretical evidence that argues for admitting spin and torsion into a relativistic gravitational theory. Not least among this evidence is the demonstration that the ${U}_{4}$ theory arises as a local gauge theory for the Poincar\'e group in space-time. The deviations of the ${U}_{4}$ theory from standard general relativity are estimated, and the prospects for further theoretical development are assessed.

Anomaly cancellations in supersymmetric D = 10 gauge theory and superstring theory

1984-12-01

Michael Green , John H. Schwarz

Quantum geometry of bosonic strings

1981-07-01

A. M. Polyakov

Symmetry behavior at finite temperature

1974-06-15

L. Dolan , R. Jackiw

Spontaneous symmetry breaking at finite temperature is studied. We show that for the class of theories discussed, symmetry is restored above a critical temperature ${{\ensuremath{\beta}}_{c}}^{\ensuremath{-}1}$. We determine ${\ensuremath{\beta}}_{c}$ by a … Spontaneous symmetry breaking at finite temperature is studied. We show that for the class of theories discussed, symmetry is restored above a critical temperature ${{\ensuremath{\beta}}_{c}}^{\ensuremath{-}1}$. We determine ${\ensuremath{\beta}}_{c}$ by a functional-diagrammatic evaluation of the effective potential and the effective mass. A formula for ${\ensuremath{\beta}}_{c}$ is obtained in terms of the renormalized parameters of the theory. By examining a large subset of graphs, we show that the formula is accurate for weak coupling. An approximate gap equation is derived whose solutions describe the theory near the critical point. For gauge theories, special attention is given to ensure gauge invariance of physical quantities. When symmetry is violated dynamically, it is argued that no critical point exists.

Quasinormal modes of black holes and black branes

2009-07-24

Emanuele Berti , Vítor Cardoso , Andrei O. Starinets

Quasinormal modes are eigenmodes of dissipative systems. Perturbations of classical gravitational backgrounds involving black holes or branes naturally lead to quasinormal modes. The analysis and classification of the quasinormal spectra … Quasinormal modes are eigenmodes of dissipative systems. Perturbations of classical gravitational backgrounds involving black holes or branes naturally lead to quasinormal modes. The analysis and classification of the quasinormal spectra require solving non-Hermitian eigenvalue problems for the associated linear differential equations. Within the recently developed gauge-gravity duality, these modes serve as an important tool for determining the near-equilibrium properties of strongly coupled quantum field theories, in particular their transport coefficients, such as viscosity, conductivity and diffusion constants. In astrophysics, the detection of quasinormal modes in gravitational wave experiments would allow precise measurements of the mass and spin of black holes as well as new tests of general relativity. This review is meant as an introduction to the subject, with a focus on the recent developments in the field.

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The four laws of black hole mechanics

1973-06-01

J. Bardeen , B. Carter , S. W. Hawking

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Ultraviolet Behavior of Non-Abelian Gauge Theories

1973-06-25

David J. Gross , Frank Wilczek

It is shown that a wide class of non-Abelian gauge theories have, up to calculable logarithmic corrections, free-field-theory asymptotic behavior. It is suggested that Bjorken scaling may be obtained from … It is shown that a wide class of non-Abelian gauge theories have, up to calculable logarithmic corrections, free-field-theory asymptotic behavior. It is suggested that Bjorken scaling may be obtained from strong-interaction dynamics based on non-Abelian gauge symmetry.

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Pseudoparticle solutions of the Yang-Mills equations

1975-10-01

A. A. Belavin , A. M. Polyakov , Arthur S. Schwartz +1 more

Black holes in higher dimensional space-times

1986-12-01

Robert C. Myers , Malcolm J. Perry

Rotating Black Holes: Locally Nonrotating Frames, Energy Extraction, and Scalar Synchrotron Radiation

1972-12-01

J. Bardeen , William H. Press , Saul A. Teukolsky

Large Mass Hierarchy from a Small Extra Dimension

1999-10-25

Lisa Randall , Raman Sundrum

We propose a new higher-dimensional mechanism for solving the hierarchy problem. The weak scale is generated from the Planck scale through an exponential hierarchy. However, this exponential arises not from … We propose a new higher-dimensional mechanism for solving the hierarchy problem. The weak scale is generated from the Planck scale through an exponential hierarchy. However, this exponential arises not from gauge interactions but from the background metric (which is a slice of ${\mathrm{AdS}}_{5}$ spacetime). We demonstrate a simple explicit example of this mechanism with two 3-branes, one of which contains the standard model fields. The phenomenology of these models is new and dramatic. None of the current constraints on theories with very large extra dimensions apply.

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Dirichlet Branes and Ramond-Ramond Charges

1995-12-25

Joseph Polchinski

We show that D-branes, extended objects defined by mixed Dirichlet-Neumann boundary conditions, break half the supersymmetries of the type II superstring and carry a complete set of electric and magnetic … We show that D-branes, extended objects defined by mixed Dirichlet-Neumann boundary conditions, break half the supersymmetries of the type II superstring and carry a complete set of electric and magnetic Ramond-Ramond charges. The product of the electric and magnetic charges is a single Dirac unit, and the quantum of charge is that required by string duality. This is strong evidence that D-branes are intrinsic to type II string theory and are the Ramond-Ramond sources needed for string duality. Also, we find in the IIa string a 9-form potential, which gives an effective cosmological constant.

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Thermodynamics of black holes in anti-de Sitter space

1983-12-01

S. W. Hawking , Don N. Page

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An Alternative to Compactification

1999-12-06

Lisa Randall , Raman Sundrum

Conventional wisdom states that Newton's force law implies only four noncompact dimensions. We demonstrate that this is not necessarily true in the presence of a nonfactorizable background geometry. The specific … Conventional wisdom states that Newton's force law implies only four noncompact dimensions. We demonstrate that this is not necessarily true in the presence of a nonfactorizable background geometry. The specific example we study is a single 3-brane embedded in five dimensions. We show that even without a gap in the Kaluza-Klein spectrum, four-dimensional Newtonian and general relativistic gravity is reproduced to more than adequate precision.

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Some properties of the Noether charge and a proposal for dynamical black hole entropy

1994-07-15

Vivek Iyer , Robert M. Wald

We consider a general, classical theory of gravity with arbitrary matter fields in $n$ dimensions, arising from a diffeomorphism invariant Lagrangian, $\bL$. We first show that $\bL$ always can be … We consider a general, classical theory of gravity with arbitrary matter fields in $n$ dimensions, arising from a diffeomorphism invariant Lagrangian, $\bL$. We first show that $\bL$ always can be written in a ``manifestly covariant" form. We then show that the symplectic potential current $(n-1)$-form, $\th$, and the symplectic current $(n-1)$-form, $\om$, for the theory always can be globally defined in a covariant manner. Associated with any infinitesimal diffeomorphism is a Noether current $(n-1)$-form, $\bJ$, and corresponding Noether charge $(n-2)$-form, $\bQ$. We derive a general ``decomposition formula" for $\bQ$. Using this formula for the Noether charge, we prove that the first law of black hole mechanics holds for arbitrary perturbations of a stationary black hole. (For higher derivative theories, previous arguments had established this law only for stationary perturbations.) Finally, we propose a local, geometrical prescription for the entropy, $S_{dyn}$, of a dynamical black hole. This prescription agrees with the Noether charge formula for stationary black holes and their perturbations, and is independent of all ambiguities associated with the choices of $\bL$, $\th$, and $\bQ$. However, the issue of whether this dynamical entropy in general obeys a ``second law" of black hole mechanics remains open. In an appendix, we apply some of our results to theories with a nondynamical metric and also briefly develop the theory of stress-energy pseudotensors.

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Non-commutative geometry and string field theory

1986-05-01

Edward Witten

Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics

2005-03-22

Pavel Kovtun , D. Son , Andrei O. Starinets

The ratio of shear viscosity to volume density of entropy can be used to characterize how close a given fluid is to being perfect. Using string theory methods, we show … The ratio of shear viscosity to volume density of entropy can be used to characterize how close a given fluid is to being perfect. Using string theory methods, we show that this ratio is equal to a universal value of variant Planck's over 2pi/4pik(B) for a large class of strongly interacting quantum field theories whose dual description involves black holes in anti-de Sitter space. We provide evidence that this value may serve as a lower bound for a wide class of systems, thus suggesting that black hole horizons are dual to the most ideal fluids.

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A Stress Tensor for Anti-de Sitter Gravity

1999-12-30

Vijay Balasubramanian , Per Kraus

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Large N field theories, string theory and gravity

2000-01-01

Ofer Aharony , Steven S. Gubser , Juan Maldacena +2 more

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Black hole entropy is the Noether charge

1993-10-15

Robert M. Wald

We consider a general, classical theory of gravity in $n$ dimensions, arising from a diffeomorphism-invariant Lagrangian. In any such theory, to each vector field ${\ensuremath{\xi}}^{a}$ on spacetime one can associate … We consider a general, classical theory of gravity in $n$ dimensions, arising from a diffeomorphism-invariant Lagrangian. In any such theory, to each vector field ${\ensuremath{\xi}}^{a}$ on spacetime one can associate a local symmetry and, hence, a Noether current ($n\ensuremath{-}1$)-form j and (for solutions to the field equations) a Noether charge ($n\ensuremath{-}2$)-form Q, both of which are locally constructed from ${\ensuremath{\xi}}^{a}$ and the fields appearing in the Lagrangian. Assuming only that the theory admits stationary black hole solutions with a bifurcate Killing horizon (with bifurcation surface $\ensuremath{\Sigma}$), and that the canonical mass and angular momentum of solutions are well defined at infinity, we show that the first law of black hole mechanics always holds for perturbations to nearby stationary black hole solutions. The quantity playing the role of black hole entropy in this formula is simply $2\ensuremath{\pi}$ times the integral over $\ensuremath{\Sigma}$ of the Noether charge ($n\ensuremath{-}2$)-form associated with the horizon Killing field. Furthermore, we show that this black hole entropy always is given by a local geometrical expression on the horizon of the black hole. We thereby obtain a natural candidate for the entropy of a dynamical black hole in a general theory of gravity. Our results show that the validity of the "second law" of black hole mechanics in dynamical evolution from an initially stationary black hole to a final stationary state is equivalent to the positivity of a total Noether flux, and thus may be intimately related to the positive energy properties of the theory. The relationship between the derivation of our formula for black hole entropy and the derivation via "Euclidean methods" also is explained.

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Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence

2006-05-09

Shinsei Ryu , Tadashi Takayanagi

A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from anti-de Sitter/conformal field theory (AdS/CFT) correspondence. We argue that the entanglement entropy in d + … A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from anti-de Sitter/conformal field theory (AdS/CFT) correspondence. We argue that the entanglement entropy in d + 1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS(d+2), analogous to the Bekenstein-Hawking formula for black hole entropy. We show that our proposal agrees perfectly with the entanglement entropy in 2D CFT when applied to AdS(3). We also compare the entropy computed in AdS(5)XS(5) with that of the free N=4 super Yang-Mills theory.

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Generalized second law of thermodynamics in black-hole physics

1974-06-15

Jacob D. Bekenstein

In previous work we introduced the concept of black-hole entropy, which we identified with the surface area of the black hole in question expressed in units of the Planck length … In previous work we introduced the concept of black-hole entropy, which we identified with the surface area of the black hole in question expressed in units of the Planck length squared. We suggested that the appropriate generalization of the second law for a region containing a black hole is that the black-hole entropy plus the common entropy in the black-hole exterior never decreases. Here we establish the validity of this law for the infall of an entropy-bearing system into a much larger and more massive generic stationary black hole. To do this we determine a general lower bound for the increase in black-hole entropy, and an upper bound for the entropy of the system, while allowing for quantum effects at each stage. In passing we show that the generalized second law is a statistical law which becomes over-whelmingly probable in the limit of a macroscopic system. We also consider briefly more general situations. Finally, we give two simple examples of predictions made by the generalized second law for black-hole formation processes.

de Sitter vacua in string theory

2003-08-07

Shamit Kachru , Рената Каллош , Andrei Linde +1 more

We outline the construction of metastable de Sitter vacua of type IIB string theory. Our starting point is highly warped IIB compactifications with nontrivial NS and RR three-form fluxes. By … We outline the construction of metastable de Sitter vacua of type IIB string theory. Our starting point is highly warped IIB compactifications with nontrivial NS and RR three-form fluxes. By incorporating known corrections to the superpotential from Euclidean D-brane instantons or gaugino condensation, one can make models with all moduli fixed, yielding a supersymmetric AdS vacuum. Inclusion of a small number of $\overline{\mathrm{D}3}$-branes in the resulting warped geometry allows one to uplift the AdS minimum and make it a metastable de Sitter ground state. The lifetime of our metastable de Sitter vacua is much greater than the cosmological time scale of ${10}^{10}\mathrm{yr}.$ We also prove, under certain conditions, that the lifetime of dS space in string theory will always be shorter than the recurrence time.

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Anti-de Sitter space, thermal phase transition, and confinement in gauge theories

1998-01-01

Edward Witten

The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of J\f = 4 super Yang-Mills theory in four dimensions to the … The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of J\f = 4 super Yang-Mills theory in four dimensions to the thermodynamics of Schwarzschild black holes in Anti-de Sitter space.In this description, quantum phenomena such as the spontaneous breaking of the center of the gauge group, magnetic confinement, and the mass gap are coded in classical geometry.The correspondence makes it manifest that the entropy of a very large AdS Schwarzschild black hole must scale "holographically" with the volume of its horizon.By similar methods, one can also make a speculative proposal for the description of large N gauge theories in four dimensions without supersymmetry.' bI -(£-£)* a + 7zr£T + ''I>?- <3 -4)

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The world as a hologram

1995-11-01

Leonard Susskind

According to 't Hooft the combination of quantum mechanics and gravity requires the three dimensional world to be an image of data that can be stored on a two dimensional … According to 't Hooft the combination of quantum mechanics and gravity requires the three dimensional world to be an image of data that can be stored on a two dimensional projection much like a holographic image. The two dimensional description only requires one discrete degree of freedom per Planck area and yet it is rich enough to describe all three dimensional phenomena. After outlining 't Hooft's proposal I give a preliminary informal description of how it may be implemented. One finds a basic requirement that particles must grow in size as their momenta are increased far above the Planck scale. The consequences for high energy particle collisions are described. The phenomena of particle growth with momentum was previously discussed in the context of string theory and was related to information spreading near black hole horizons. The considerations of this paper indicate that the effect is much more rapid at all but the earliest times. In fact the rate of spreading is found to saturate the bound from causality. Finally we consider string theory as a possible realization of 't Hooft's idea. The light front lattice string model of Klebanov and Susskind is reviewed and its similarities with the holographic theory are demonstrated. The agreement between the two requires unproven but plausible assumptions about the nonperturbative behavior of string theory. Very similar ideas to those in this paper have been long held by Charles Thorn.

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Topology of cosmic domains and strings

1976-08-01

T. W. B. Kibble

The possible domain structures which can arise in the universe in a spontaneously broken gauge theory are studied. It is shown that the formation of domain wall, strings or monopoles … The possible domain structures which can arise in the universe in a spontaneously broken gauge theory are studied. It is shown that the formation of domain wall, strings or monopoles depends on the homotopy groups of the manifold of degenerate vacua. The subsequent evolution of these structures is investigated. It is argued that while theories generating domain walls can probably be eliminated (because of their unacceptable gravitational effects), a cosmic network of strings may well have been formed and may have had important cosmological effects.

Symmetry Breaking through Bell-Jackiw Anomalies

1976-07-05

Gerard ’t Hooft

In models of fermions coupled to gauge fields certain current-conservation laws are violated by Bell-Jackiw anomalies. In perturbation theory the total charge corresponding to such currents seems to be still … In models of fermions coupled to gauge fields certain current-conservation laws are violated by Bell-Jackiw anomalies. In perturbation theory the total charge corresponding to such currents seems to be still conserved, but here it is shown that nonperturbative effects can give rise to interactions that violate the charge conservation. One consequence is baryon and lepton number nonconservation in $V\ensuremath{-}A$ gauge theories with charm. Another is the nonvanishing mass squared of the $\ensuremath{\eta}$.

Quantum gravity at a Lifshitz point

2009-04-06

Petr Hořava

We present a candidate quantum field theory of gravity with dynamical critical exponent equal to $z=3$ in the UV. (As in condensed-matter systems, $z$ measures the degree of anisotropy between … We present a candidate quantum field theory of gravity with dynamical critical exponent equal to $z=3$ in the UV. (As in condensed-matter systems, $z$ measures the degree of anisotropy between space and time.) This theory, which at short distances describes interacting nonrelativistic gravitons, is power-counting renormalizable in $3+1$ dimensions. When restricted to satisfy the condition of detailed balance, this theory is intimately related to topologically massive gravity in three dimensions, and the geometry of the Cotton tensor. At long distances, this theory flows naturally to the relativistic value $z=1$, and could therefore serve as a possible candidate for a UV completion of Einstein's general relativity or an infrared modification thereof. The effective speed of light, the Newton constant and the cosmological constant all emerge from relevant deformations of the deeply nonrelativistic $z=3$ theory at short distances.

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Topological quantum field theory

1988-09-01

Edward Witten

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CP-Violation in the Renormalizable Theory of Weak Interaction

1973-02-01

M. Kobayashi , Toshihide Maskawa

In a framework of the renormalizable theory of weak interaction, problems of CP-violation are studied. It is concluded that no realistic models of CP-violation exist in the quartet scheme without … In a framework of the renormalizable theory of weak interaction, problems of CP-violation are studied. It is concluded that no realistic models of CP-violation exist in the quartet scheme without introducing any other new fields. Some possible models of CP-violation are also discussed.

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Hierarchies from fluxes in string compactifications

2002-11-25

Steven B. Giddings , Shamit Kachru , Joseph Polchinski

Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, … Warped compactifications with significant warping provide one of the few known mechanisms for naturally generating large hierarchies of physical scales. We demonstrate that this mechanism is realizable in string theory, and give examples involving orientifold compactifications of type-IIB string theory and F-theory compactifications on Calabi-Yau fourfolds. In each case, the hierarchy of scales is fixed by a choice of Ramond-Ramond and Neveu-Schwarz fluxes in the compact manifold. Our solutions involve compactifications of the Klebanov-Strassler gravity dual to a confining $\mathcal{N}=1$ supersymmetric gauge theory, and the hierarchy reflects the small scale of chiral symmetry breaking in the dual gauge theory.

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Solitons with fermion number ½

1976-06-15

R. Jackiw , C. Rebbi

We study the structure of soliton-monopole systems when Fermi fields are present. We show that the existence of a nondegenerate, isolated, zero-energy, $c$-number solution of the Dirac equation implies that … We study the structure of soliton-monopole systems when Fermi fields are present. We show that the existence of a nondegenerate, isolated, zero-energy, $c$-number solution of the Dirac equation implies that the soliton is a degenerate doublet with Fermi number \ifmmode\pm\else\textpm\fi{} \textonehalf{}. We find such solutions in the theory of Yang-Mills monopoles and dyons.

Structure of Phenomenological Lagrangians. I

1969-01-25

Sidney Coleman , J. Wess , Bruno Zumino

The general structure of phenomenological Lagrangian theories is investigated, and the possible transformation laws of the phenomenological fields under a group are discussed. The manifold spanned by the phenomenological fields … The general structure of phenomenological Lagrangian theories is investigated, and the possible transformation laws of the phenomenological fields under a group are discussed. The manifold spanned by the phenomenological fields has a special point, called the origin. Allowed changes in the field variables, which do not change the on-shell $S$ matrix, must leave the origin fixed. By a suitable choice of fields, the transformations induced by the group on the manifold of the phenomenological fields can be made to have standard forms, which are described in detail. The mathematical problem is equivalent to that of finding all (nonlinear) realizations of a (compact, connected, semisimple) Lie group which become linear when restricted to a given subgroup. The relation between linear representations and nonlinear realization is discussed. The important special case of the chiral groups $\mathrm{SU}(2)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(2)$ and $\mathrm{SU}(3)\ifmmode\times\else\texttimes\fi{}\mathrm{SU}(3)$ is considered in detail.

String theory

1998-09-15

Brian Greene , David R. Morrison , Joseph Polchinski

We introduce an intuitive particle-based model of time-symmetric quantum physics that gives a concrete description of what goes on in the time between projective measurements of a quantum system. The … We introduce an intuitive particle-based model of time-symmetric quantum physics that gives a concrete description of what goes on in the time between projective measurements of a quantum system. The time-symmetry in this model means that we ...Physical interpretations of the time-symmetric formulation of quantum mechanics, due to Aharonov, Bergmann, and Lebowitz are discussed in terms of weak values. The most direct, yet somewhat naive, interpretation uses the time-symmetric formulation to ...

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The Large N Limit of Superconformal Field Theories and Supergravity

1999-01-01

Juan Maldacena

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4D gravity on a brane in 5D Minkowski space

2000-07-01

Gia Dvali , Gregory Gabadadze , Massimo Porrati

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Microscopic origin of the Bekenstein-Hawking entropy

1996-06-01

Andrew Strominger , Cumrun Vafa

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Gauge theory correlators from non-critical string theory

1998-05-01

Steven S. Gubser , Igor R. Klebanov , A. M. Polyakov

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String theory dynamics in various dimensions

1995-06-01

Edward Witten

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𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

2008-10-23

Ofer Aharony , Oren Bergman , Daniel L. Jafferis +1 more

The large N limit of superconformal field theories and supergravity

1999-01-01

Juan Maldacena

We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of Anti-deSitter spacetimes, … We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of Anti-deSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory and then taking a low energy limit where the field theory on the brane decouples from the bulk. We observe that, in this limit, we can still trust the near horizon geometry for large N. The enhanced supersymmetries of the near horizon geometry correspond to the extra supersymmetry generators present in the superconformal group (as opposed to just the super-Poincare group). The 't Hooft limit of 3+1N=4 super-Yang-Mills at the conformal point is shown to contain strings: they are IIB strings. We conjecture that compactifications of M/string theory on various Anti-deSitter spacetimes is dual to various conformal field theories. This leads to a new proposal for a definition of M-theory which could be extended to include five non-compact dimensions.

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The large $N$ limit of superconformal field theories and supergravity

1998-01-01

Juan Maldacena

We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of Anti-deSitter spacetimes, … We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of Anti-deSitter spacetimes, spheres and other compact manifolds.This is shown by taking some branes in the full M/string theory and then taking a low energy limit where the field theory on the brane decouples from the bulk.We observe that, in this limit, we can still trust the near horizon geometry for large N.The enhanced supersymmetries of the near horizon geometry correspond to the extra supersymmetry generators present in the superconformal group (as opposed to just the super-Poincare group).The 't Hooft limit of 3+1 J\f = 4 super-Yang-Mills at the conformal point is shown to contain strings: they are IIB strings.We conjecture that compactifications of M/string theory on various Anti-deSitter spacetimes is dual to various conformal field theories.This leads to a new proposal for a definition of M-theory which could be extended to include five noncompact dimensions. General IdeaIn the last few years it has been extremely fruitful to derive quantum field theories by taking various limits of string or M-theory.In some cases this

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Topologically massive gauge theories

1982-05-01

S. Deser , R. Jackiw , S. Templeton

Does finetuning make <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi></mml:math> -term contributions smaller in natural grand unified theories with spontaneous supersymmetry breaking?

2025-06-25

NULL AUTHOR_ID | Physical review. D/Physical review. D.

Probing a one-loop quantum-corrected Schwarzschild spacetime with precessing and periodic motion

2025-06-25

Zhongxu Wei , Jing Zhang , Yi Xie +1 more | The European Physical Journal C

Abstract We investigate the bound orbits of a test timelike particle around the Schwarzschild spacetime with one-loop quantum correction in this work. After obtaining the marginally bound orbit and innermost … Abstract We investigate the bound orbits of a test timelike particle around the Schwarzschild spacetime with one-loop quantum correction in this work. After obtaining the marginally bound orbit and innermost stable circular orbit numerically, we find that both of their radii decrease with the rescaled quantum-corrected parameter $$\lambda .$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>λ</mml:mi> <mml:mo>.</mml:mo> </mml:mrow> </mml:math> Then, we scrutinize the precessing orbits and work out the resulting relativistic periastron advance, which descends with the increment of the one-loop long-distance quantum-corrected effect and could depart from the one in the Schwarzschild spacetime slightly. Based on that, we try to constrain the quantum-corrected effect around the Sgr A* by employing the observation of GRAVITY on S2 star and find a preliminary bound on it. Moreover, we examine the periodic orbits in this spacetime and find that they lay out a distinct pattern from the one in the Schwarzschild spacetime due to the quantum-corrected parameter $$\lambda ,$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>λ</mml:mi> <mml:mo>,</mml:mo> </mml:mrow> </mml:math> which may give an insight into the quantum effect of the spacetime in the strong gravitational field.

Superheavy metastable strings in SO(10)

2025-06-24

Rinku Maji , Qaisar Shafi | Journal of High Energy Physics

A bstract The spontaneous breaking of SO(10) grand unified symmetry to SU(3) c × SU(2) L × U(1) Y × U(1) χ yields the GUT monopole as well as a … A bstract The spontaneous breaking of SO(10) grand unified symmetry to SU(3) c × SU(2) L × U(1) Y × U(1) χ yields the GUT monopole as well as a comparably heavy U(1) χ monopole which also carries U(1) Y flux. A metastable string scenario in this case requires that the U(1) χ symmetry is necessarily broken close to the GUT scale, thus resulting in a dimensionless string tension Gμ ~ 10 − 6 . We show that the χ monopole does not carry any unconfined flux following the electroweak symmetry breaking. Coupled with Gμ ~ 10 − 6 , this metastable string network appears to provide a good fit to the recent Pulsar Timing Array data on the stochastic gravitational background. Gauge coupling unification, especially in the presence of low scale supersymmetry, determines the GUT scale and, in combination with constraints from proton decay experiments, one is able to constrain some of the key parameters in this setup. The breaking of SO(10) via SU(5) × U(1) χ also yields superheavy metastable strings with no unconfined flux associated with the monopoles. Finally, we consider SO(10) breaking via SU(4) c × SU(2) L × U(1) R , SU(3) c × SU(2) L × SU(2) R × U(1) B−L and flipped SU(5) that yield metastable strings where the associated monopoles carry unconfined flux after the electroweak breaking.

DDF amplitudes are lightcone amplitudes and the naturalness of Mandelstam maps

2025-06-24

Dripto Biswas , Igor Pesando | The European Physical Journal C

Abstract We show that on-shell DDF amplitudes are on-shell lightcone amplitudes and that Mandelstam maps emerge naturally with a precise normalization, and are intrinsic to the DDF states. Off-shell DDF … Abstract We show that on-shell DDF amplitudes are on-shell lightcone amplitudes and that Mandelstam maps emerge naturally with a precise normalization, and are intrinsic to the DDF states. Off-shell DDF and Mandelstam amplitudes à la Kaku–Kikkawa differ. In the process, we give a very explicit formula for the conformal transformation of a generic vertex in the form of a compact generating function for free theories.

Impact of loop quantum gravity on gravitational lensing, thermal fluctuations, tidal force and geodesic deviation around a black hole

2025-06-24

Farzan Mushtaq , Tiecheng Xia , Faisal Javed +4 more | The European Physical Journal C

Abstract This study investigates the deflection of light, Einstein rings, thermal fluctuations, and tidal force and geodesic deviation in a loop quantum black hole (LQBH) resulting from gravitational collapse. Initially, … Abstract This study investigates the deflection of light, Einstein rings, thermal fluctuations, and tidal force and geodesic deviation in a loop quantum black hole (LQBH) resulting from gravitational collapse. Initially, we employ the Gauss–Bonnet theorem (GBT) to examine the weak deflection angle of the LQBH. For the GBT, we used the Gibbons-Werner method to obtain the Gaussian optical curvature. We also determined the deflection angle for a spherically symmetric BH in the context of the non-plasma and plasma environments under weak field constraints. Furthermore, we graphically investigate the deflection angle of light in the scenario of the impact parameter and find that the impact parameter has a direct effect on the angle. Later, we compute the Einstein rings of the LQBH and examine the graphical impact of various parameters. Moreover, we employ corrected entropy to examine the effects of thermal fluctuations for small and large BHs. For both large and small BHs, we examine the impact of the correction terms on the thermodynamic system. We also study the geodesic deviation in LQBH, with a particular emphasis on how quantum factors affect the paths of neighboring geodesics. Angular geodesics, in contrast to radial geodesics, tend to converge as one moves away from the BH, a phenomenon that reflects the complicated consequences of space-time curvature in this scenario.

D-instanton induced effective action and its gauge invariance

2025-06-24

Ashoke Sen | Journal of High Energy Physics

A bstract The effect of D-instantons on closed string scattering amplitudes may be encoded into an effective action obtained by integrating out the (transient) open string fields. In order that … A bstract The effect of D-instantons on closed string scattering amplitudes may be encoded into an effective action obtained by integrating out the (transient) open string fields. In order that this respects the gauge invariance of the theory, the sum of the perturbative closed string field theory action and the D-instanton induced effective action must satisfy the quantum Batalin-Vilkovisky master equation. In a previous paper this was proved for the effective action induced by up to two instantons. We generalize the proof for arbitrary number of D-instantons.

On the classification of duality defects in c = 2 compact boson CFTs with a discrete group orbifold

2025-06-24

Yuma Furuta | Journal of High Energy Physics

A bstract We propose a novel approach to exploring duality defects in the c = 2 compact boson conformal field theory (CFT). This study is motivated by the desire to … A bstract We propose a novel approach to exploring duality defects in the c = 2 compact boson conformal field theory (CFT). This study is motivated by the desire to classify categorical symmetries, particularly duality defects, in CFTs. While the c = 1 case has been extensively studied, and the types of realizable duality defects are largely understood, the situation becomes significantly more complex for c = 2. The simplicity of the c = 1 case arises from the fact that its theory is essentially determined by the radius of compactification. In contrast, the c = 2 case involves more parameters, leading to a more intricate action of T-duality. As a result, directly solving the condition for a theory to be self-dual under orbifolding becomes highly challenging. To address this, we categorize duality defects into four types and demonstrate that the condition for a toroidal branch theory to be self-dual under an orbifold induced by an automorphism generated by shift symmetry can be reformulated as quadratic equations. We also found that for “almost all” theories we can enumerate all solutions for such equations. Moreover, this reformulation enables the simultaneous exploration of multiple duality defects and provides evidence for the existence of duality defects under specific parameter families for the theory, such as ( τ , ρ ) = ( it , $$ \frac{1}{2} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:math> + it ) where t ∈ ℚ .

Revisiting holographic model for thermal and dense QCD with a critical point

2025-06-24

Qingxuan Fu , Song He , Li Li +1 more | Journal of High Energy Physics

A bstract To provide reliable quantitative predictions for hot and dense QCD matter, a holographic model must be calibrated to match first-principles lattice results at vanishing baryon chemical potential. The … A bstract To provide reliable quantitative predictions for hot and dense QCD matter, a holographic model must be calibrated to match first-principles lattice results at vanishing baryon chemical potential. The equation of state from two leading lattice groups, HotQCD and the Wuppertal-Budapest (WB) collaboration, exhibits notable differences at high temperatures. We revisit the Einstein-Maxwell-dilaton (EMD) holographic model for hot QCD with 2+1 flavors and physical quark masses, fitting the lattice QCD data from the WB collaboration. In particular, using the parameterization for the scalar potential and gauge coupling from our previous work [Phys. Rev. D 106 (2022) L121902], we achieve quantitative agreement between the equation of state, chiral condensates, and state-of-the-art lattice results. Furthermore, higher-order baryon number susceptibilities are consistent with those for 2+1+1 flavor QCD. In particular, the critical endpoint (CEP) obtained from the WB collaboration data closely matches that from the combination of HotQCD and WB datasets, highlighting the robustness of the CEP location. Our holographic prediction for the location of the CEP also aligns with recent Bayesian analysis of multiple EMD models and an effective potential approach to QCD from gap equations.

Extremal black hole weather

2025-06-24

Claudio Iuliano , Stefan Hollands , Stephen Green +1 more | Physical review. D/Physical review. D.

We consider weakly nonlinear gravitational perturbations of a near-extremal Kerr black hole governed by the second-order vacuum Einstein equation. Using the GHZ [for , ], these are parametrized by a … We consider weakly nonlinear gravitational perturbations of a near-extremal Kerr black hole governed by the second-order vacuum Einstein equation. Using the GHZ [for , ], these are parametrized by a Hertz potential. We make an ansatz for the Hertz potential as a series of zero-damped quasinormal modes (QNMs) with time-dependent amplitudes, and derive a nonlinear dynamical system for them. We find that our dynamical system has a time-independent solution within the near-horizon scaling limit. This equilibrium solution is supported on axisymmetric modes, with amplitudes scaling as <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msub><a:mrow><a:mi>c</a:mi></a:mrow><a:mrow><a:mo>ℓ</a:mo></a:mrow></a:msub><a:mo>∼</a:mo><a:msup><a:mrow><a:mi>C</a:mi></a:mrow><a:mrow><a:mi>low</a:mi></a:mrow></a:msup><a:msup><a:mrow><a:mn>2</a:mn></a:mrow><a:mrow><a:mo>−</a:mo><a:mfrac><a:mrow><a:mo>ℓ</a:mo></a:mrow><a:mrow><a:mn>2</a:mn></a:mrow></a:mfrac></a:mrow></a:msup><a:msup><a:mrow><a:mo>ℓ</a:mo></a:mrow><a:mrow><a:mo>−</a:mo><a:mfrac><a:mrow><a:mn>7</a:mn></a:mrow><a:mrow><a:mn>2</a:mn></a:mrow></a:mfrac></a:mrow></a:msup></a:mrow></a:math> for large polar angular momentum mode number <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" display="inline"><c:mo>ℓ</c:mo></c:math>, where <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:msup><e:mi>C</e:mi><e:mi>low</e:mi></e:msup></e:math> is a cumulative amplitude of the low <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" display="inline"><g:mo>ℓ</g:mo></g:math> modes. We interpret our result as evidence that the dynamical evolution will approach, for a parametrically long time as extremality is approached, a distribution of mode amplitudes exponentially suppressed in <i:math xmlns:i="http://www.w3.org/1998/Math/MathML" display="inline"><i:mo>ℓ</i:mo></i:math>, hence as the end point of an inverse cascade. It is reminiscent of weatherlike phenomena in certain models of atmospheric dynamics of rotating bodies. During the timescale considered, the decay of the QNMs themselves plays no role given their parametrically long half-life. Hence, our result is due entirely to weakly nonlinear effects. Published by the American Physical Society 2025

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Large charge meets semiclassics in $$\mathcal{N}$$ = 4 super Yang-Mills

2025-06-24

Augustus Brown , Francesco Galvagno , Alba Grassi +2 more | Journal of High Energy Physics

A bstract We study the large-charge sector of $$\mathcal{N}$$ = 4 super Yang-Mills theory (SYM) with SU( N ) gauge group by constructing a special class of half-BPS heavy operators, … A bstract We study the large-charge sector of $$\mathcal{N}$$ = 4 super Yang-Mills theory (SYM) with SU( N ) gauge group by constructing a special class of half-BPS heavy operators, termed “canonical operators”. Such operators exhibit remarkable simplicity in the large-charge ’t Hooft limit, where the dimension of the operators ∆ → ∞ with $${\Delta g}_{\text{YM}}^{2}$$ held finite. Canonical operator insertions in this regime map $$\mathcal{N}$$ = 4 SYM onto the Coulomb branch, by assigning a classical profile to the scalar fields with non-vanishing values along the diagonals given by the roots of unity. We follow a semiclassical approach to study two-point, three-point and Heavy-Heavy-Light-Light (HHLL) correlators. In particular we show that HHLL correlators in the large-charge ’t Hooft limit are computed as two-point functions in a background determined by the classical profiles. We provide consistent evidence of our findings by computing the same observables via supersymmetric localization.

Towards a uniqueness theorem for static black holes in Kaluza-Klein theory with small circle size

2025-06-24

Emma Albertini , Daniel Platt , Toby Wiseman | Journal of High Energy Physics

A bstract Kaluza-Klein theory, by which we mean vacuum gravity in 5-dimensions, with asymptotics that are a product of a circle with Minkowski spacetime, has a variety of different static … A bstract Kaluza-Klein theory, by which we mean vacuum gravity in 5-dimensions, with asymptotics that are a product of a circle with Minkowski spacetime, has a variety of different static black hole solutions; localized black holes and the homogeneous and inhomogeneous black strings. There is currently no uniqueness theorem for the solutions, and for fixed circle size multiple solutions with the same mass co-exist. Intuitively for small circle sizes we might expect the theory truncates to become 4-dimensional, and correspondingly the only black holes are the homogeneous black strings. Thus we conjecture that for fixed mass and sufficiently small circle size, the only black holes are homogeneous ones. Here we give evidence that this is indeed the case. Firstly we introduce a toy scalar field model with a potential that allows tachyonic behaviour. Putting this theory on a product of Minkowski with a circle gives an analogous set of static homogeneous and inhomogeneous solutions to that of the black holes. We prove that solutions must be homogeneous for small circle sizes, the analog of our conjecture for this toy model. A weaker statement that is straightforward to derive is a bound on how inhomogeneous a solution can be — putting this scalar theory in a large but finite cavity, a norm of the wavefunction of the Kaluza-Klein modes can be shown to vanish in the small circle limit. Turning to the full gravitational theory, we employ a metric ansatz that imposes static axisymmetry, encompasses the homogeneous and inhomogeneous black strings (but not the localized solutions) and allows us to measure inhomogeneity of a solution. Employing a finite cavity and imposing boundary conditions that are compatible with homogeneity we show a similar result; the norm of certain Kaluza-Klein modes is bounded by the circle size, providing evidence that our conjecture is true.

Inverse anisotropic catalysis and complexity

2025-06-24

Mojtaba Shahbazi , Mehdi Sadeghi | The European Physical Journal C

Abstract In this work, the effect of anisotropy on computational complexity is considered by CA proposal in holographic two-sided black brane dual of a strongly coupled gauge theory. It is … Abstract In this work, the effect of anisotropy on computational complexity is considered by CA proposal in holographic two-sided black brane dual of a strongly coupled gauge theory. It is shown that due to the confinement–deconfinement phase transition, there are two different behaviors: with an increase in anisotropy, there is an increase in the complexity growth rate in small anisotropy and a decrease in the complexity growth rate in large anisotropy. In the extreme case, very large anisotropy leads to the triviality of the complexity growth rate and the complexity itself, which means that in this case, getting the target state from the reference state is achieved with no effort or the identity of two states. Moreover, we suggest that $$\frac{1}{M}\frac{dC}{dt}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mi>M</mml:mi> </mml:mfrac> <mml:mfrac> <mml:mrow> <mml:mi>dC</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>dt</mml:mi> </mml:mrow> </mml:mfrac> </mml:mrow> </mml:math> is a better representation of system degrees of freedom rather than the complexity growth rate $$\frac{dC}{dt}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mrow> <mml:mi>dC</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>dt</mml:mi> </mml:mrow> </mml:mfrac> </mml:math> and show that how it is related to inverse anisotropic catalysis. In addition, we consider the one-sided black brane dual to the quantum quench and show that increase in anisotropy comes with decrease in complexity regardless of the anisotropy value which is due to the fact that the system does not experience a phase transition.

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The chiral SYK model in three-dimensional holography

2025-06-24

Alexander Altland , Dmitry Bagrets , Nele Callebaut +1 more | SciPost Physics

A celebrated realization of the holographic principle posits an approximate duality between the (0+1) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false" form="prefix">(</mml:mo><mml:mn>0</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false" form="postfix">)</mml:mo></mml:mrow></mml:math> -dimensional quantum mechanical SYK model and two-dimensional Jackiw-Teitelboim gravity, … A celebrated realization of the holographic principle posits an approximate duality between the (0+1) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false" form="prefix">(</mml:mo><mml:mn>0</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false" form="postfix">)</mml:mo></mml:mrow></mml:math> -dimensional quantum mechanical SYK model and two-dimensional Jackiw-Teitelboim gravity, mediated by the Schwarzian action as an effective low energy theory common to both systems. We here propose a generalization of this correspondence to one dimension higher. Starting from different microscopic realizations of effectively chiral (1+1) <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false" form="prefix">(</mml:mo><mml:mn>1</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false" form="postfix">)</mml:mo></mml:mrow></mml:math> -dimensional generalizations of the SYK model, we derive a reduction to the Alekseev-Shatashvilli (AS)-action, a minimal extension of the Schwarzian action which has been proposed as the effective boundary action of three-dimensional gravity. In the bulk, we show how the same action describes fluctuations around the Euclidean BTZ black hole configuration, the dominant stationary solution of three-dimensional gravity. These two constructions allow us to match bulk and boundary coupling constants, and to compute observables. Specifically, we apply semiclassical techniques inspired by condensed matter physics to the computation of out-of-time-order correlation functions (OTOCs), demonstrating maximal chaos in the chiral SYK chain and its gravity dual.

Black holes and other exact solutions in six-derivative gravity

2025-06-23

NULL AUTHOR_ID | Physical review. D/Physical review. D.

Self-energy and the overspinning problem in the Kerr-Taub-NUT spacetime

2025-06-23

NULL AUTHOR_ID | Physical review. D/Physical review. D.

On the Evidence for the Violation of the Equivalence Principle in Disk Galaxies

2025-06-22

Corey Sargent , William T. Clark , Antonia Seifert +5 more | Particles

We examine the claimed observations of a gravitational external field effect (EFE) reported by Chae et al. We show that observations suggestive of the EFE can be interpreted without violating … We examine the claimed observations of a gravitational external field effect (EFE) reported by Chae et al. We show that observations suggestive of the EFE can be interpreted without violating Einstein’s equivalence principle, namely from known correlations between the morphology, the environment, and dynamics of galaxies. While Chae et al.’s analysis provides a valuable attempt at a clear test of modified Newtonian dynamics, an evidently important topic, a re-analysis of the observational data does not permit us to confidently assess the presence of an EFE or to distinguish this interpretation from that proposed in this article.

Universality on thermodynamic relation with corrections in Einstein-Bel-Robinson gravity Black hole

2025-06-22

Hai-Long Zhen , H. Li , yubo Ma | Chinese Physics C

Abstract The generalized thermodynamic extremum relation, as proposed by Goon and Penco, establishes a novel theoretical framework for the study of spacetime thermodynamics. However, extant investigations generally assume that the … Abstract The generalized thermodynamic extremum relation, as proposed by Goon and Penco, establishes a novel theoretical framework for the study of spacetime thermodynamics. However, extant investigations generally assume that the black hole state parameter is solely a first-order function of the perturbation parameter when exploring the Goon-Penco relation in diverse spacetime contexts. An analytic expression for the perturbation parameter as a function of the black hole entropy can be expressed by treating the black hole mass as constant. The present study addresses this limitation and provides insight into the universal Goon-Penco relation when multiple thermodynamic state parameters behave as higher order functions of the perturbation parameters. Notably, we have not only established a universal relational formula in the case of multiple state variables, but more importantly, we have put forward an innovative conjecture that reveals the existence of a universal relation between displaced thermodynamic quantities in spacetime in the context of an arbitrary black hole. These theoretical breakthroughs are expected to open up new exploration directions for quantum gravity research.

Thermodynamics and its generalized uncertainty principle correction of the charged hayward black hole

2025-06-21

T. Huo , D. Ma , Chengzhou Liu | Modern Physics Letters A

In this paper, we study the thermodynamic properties of the charged Hayward black hole. For the nonsingular black hole, we calculate its temperature, entropy, and heat capacity. The corrected first … In this paper, we study the thermodynamic properties of the charged Hayward black hole. For the nonsingular black hole, we calculate its temperature, entropy, and heat capacity. The corrected first law of black hole thermodynamics is used, and a simple method to determine the correction factor in the corrected first law is provided. It is found that, unlike the case when using the usual first law of black hole thermodynamics, the black hole temperature derived from the corrected first law matches that obtained from the surface gravity and tunneling methods. The obtained heat capacity indicates that the regular black hole may be thermodynamically stable. Additionally, we prove that within the framework of the corrected first law, the horizon radius corresponding to the extreme temperature of the black hole is exactly equal to the horizon radius corresponding to the divergence point of the heat capacity. Furthermore, the quantum corrections from the generalized uncertainty principle for the temperature, entropy, and heat capacity of the regular black hole are analyzed. The obtained quantum-corrected entropy includes a logarithmic term and reduces to the Bekenstein–Hawking area law when quantum effects are neglected.

Universality on the thermodynamic relation with corrections in higher-dimensional de Sitter black holes

2025-06-21

Hai-Long Zhen , yubo Ma | The European Physical Journal C

Abstract In this study, the methodology proposed by Goon and Penco for investigating the universality of thermodynamic relations with corrections in de Sitter black holes is extended. A universal thermodynamic … Abstract In this study, the methodology proposed by Goon and Penco for investigating the universality of thermodynamic relations with corrections in de Sitter black holes is extended. A universal thermodynamic extremality relation, considering the spacetime mass M with various state parameters, proposed by Goon and Penco is investigated in higher-dimensional spacetime. The established universal conclusions are not impacted by the convergence of energy from the coexistence region of two horizons to the point N or C . Furthermore, by incorporating the shift of the angular momentum into our analysis, a more universal relation is derived, specifically applicable to rotating configurations. Notably, a novel conjecture is formulated that establishes a universal relationship framework connecting shifted thermodynamic quantities across arbitrary black hole backgrounds. These findings are expected to offer profound insights into the fundamental principles of quantum gravity.

Perturbations of massless external fields on magnetically charged black holes in string-inspired Euler-Heisenberg theory

2025-06-20

X. Zhang , De-Cheng Zou , Chaoming Zhang +2 more | Chinese Physics C

Abstract In this paper, we study the perturbations of massless scalar and electromagnetic fields on the magnetically charged black holes in string-inspired Euler-Heisenberg theory. We calculate the quasinormal frequencies (QNFs) … Abstract In this paper, we study the perturbations of massless scalar and electromagnetic fields on the magnetically charged black holes in string-inspired Euler-Heisenberg theory. We calculate the quasinormal frequencies (QNFs) and discuss influences of black hole magnetic charge $Q_m$, coupling parameter $\epsilon$ and angular momentum $l$ on QNFs, emphasizing the relationship between these parameters and QNMs behavior. We find these results obtained through the AIM method are in good agreement with those of obtained by WKB method. The greybody factor is calculated by WKB method. The effects of these parameters $Q_m$ and $\epsilon$ on the greybody factor are also studied.

Holographic description of bulk wave packets in AdS4/CFT3

2025-06-20

Norihiro Tanahashi , S. TERASHIMA , Sōji Yoshikawa | Journal of High Energy Physics

A bstract In this paper, we extend the study of wave packets from the AdS 3 /CFT 2 correspondence to AdS 4 /CFT 3 and examine properties of their energy … A bstract In this paper, we extend the study of wave packets from the AdS 3 /CFT 2 correspondence to AdS 4 /CFT 3 and examine properties of their energy density. We find that, while the energy still localizes on the light cone, its spatial distribution exhibits momentum dependence and is no longer localized in higher dimensions. This result is significant as it reflects leading 1/ N corrections to the generalized free field theory associated with the free bulk theory at N = ∞. Our findings are consistent with previous studies on entanglement wedge reconstruction including 1/ N corrections, and also provide new insights into the structure of wave packets in higher-dimensional holography.

From modular graph forms to iterated integrals

2025-06-20

Emiel Claasen , Mehregan Doroudiani | Journal of High Energy Physics

A bstract Modular graph forms are a class of non-holomorphic modular forms that arise in the low-energy expansion of genus-one closed string amplitudes. In this work, we introduce a systematic … A bstract Modular graph forms are a class of non-holomorphic modular forms that arise in the low-energy expansion of genus-one closed string amplitudes. In this work, we introduce a systematic procedure to convert lattice-sum representations of modular graph forms into iterated integrals of holomorphic Eisenstein series and provide a M athematica package that implements all modular graph form topologies up to four vertices. To achieve this, we introduce specific tree-representations of modular graph forms. The presented method enables the conversion of the integrand of the four-graviton one-loop amplitude in Type II superstring theory at eighth order in the inverse string tension α ′8 , which we use to calculate the α ′8 ζ 3 ζ 5 contribution to the analytic part of the amplitude.

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One-loop renormalization group equations in generic effective field theories. Part I. Bosonic operators

2025-06-20

Mikołaj Misiak , Ignacy Nałȩcz | Journal of High Energy Physics

A bstract We consider a generic class of effective quantum field theories with arbitrary gauge groups and scalar matter fields. In such theories, we derive the one-loop Renormalization Group Equations … A bstract We consider a generic class of effective quantum field theories with arbitrary gauge groups and scalar matter fields. In such theories, we derive the one-loop Renormalization Group Equations (RGEs) for the physical dimension-six operators. The present paper is the first one in a series that is going to cover theories with spin- $$ \frac{1}{2} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mfrac> <mml:mn>1</mml:mn> <mml:mn>2</mml:mn> </mml:mfrac> </mml:math> matter fields, too, including the phenomenologically most relevant SMEFT and LEFT cases. Our present approach provides tools for deriving the yet unknown two-loop RGEs in the SMEFT.

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Continuous and discrete symmetries in a 4D field-theoretic system: Symmetry operators and their algebraic structures

2025-06-20

R. P. Malik | EPL (Europhysics Letters)

Abstract Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we show the existence of (i) a couple of off-shell nilpotent (i.e. fermionic) BRST and co-BRST symmetry transformations, and (ii) a full … Abstract Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we show the existence of (i) a couple of off-shell nilpotent (i.e. fermionic) BRST and co-BRST symmetry transformations, and (ii) a full set of non-nilpotent (i.e. bosonic) symmetry transformations for an appropriate Lagrangian density that describes the combined system of the free Abelian 3-form and 1-form gauge theories in the physical four (3 + 1)-dimensions of the flat Minkowskian spacetime. This combined BRST-quantized field-theoretic system is essential for the existence of the off-shell nilpotent co-BRST and non-nilpotent bosonic symmetry transformations in the theory. We concentrate on the full algebraic structures of the above continuous symmetry transformation operators along with a couple of very useful discrete duality symmetry transformation operators existing in our four (3 + 1)-dimensional (4D) field-theoretic model. We establish the relevance of the algebraic structures, respected by the above discrete and continuous symmetry operators, to the algebraic structures that are obeyed by the de Rham cohomological operators of differential geometry. One of the highlights of our present Letter is the observation that there are no ``exotic'' fields with the negative kinetic terms in our present 4D field-theoretic example for Hodge theory.

Superradiance of charged static black hole in cubic gravity

2025-06-20

S. N. Sajadi , Supakchai Ponglertsakul | The European Physical Journal Plus

Stealth black hole solutions in higher-order Maxwell-Einstein theories

2025-06-20

Masato Minamitsuji | International Journal of Modern Physics D

Black hole thermodynamics probes the equivalence principle

2025-06-20

Ana Alonso-Serrano , Luis J. Garay , Marek Liška | International Journal of Modern Physics D

Quantum-Modified Regge-Wheeler Formalism for Black Holes with Phantom Global Monopoles Potential Profiles and Quasinormal Modes

2025-06-20

Faizuddin Ahmed , Ahmad Al‐Badawi , İzzet Sakallı | International Journal of Geometric Methods in Modern Physics

The EFT bootstrap at finite MPL

2025-06-20

Carl Beadle , Giulia Isabella , Davide Perrone +3 more | Journal of High Energy Physics

A bstract We explore the impact of loop effects on positivity in effective field theories emerging in the infrared from unitary and causal microscopic dynamics. Focusing on massless particles coupled … A bstract We explore the impact of loop effects on positivity in effective field theories emerging in the infrared from unitary and causal microscopic dynamics. Focusing on massless particles coupled to gravity, we address the treatment of forward-limit divergences from loop discontinuities and establish necessary conditions for maintaining computational control in perturbation theory. While loop effects remain small, ensuring consistency in our approach leads to a significant impact on bounds, even at tree level.

Solitonic vortices and black holes with vortex hair in AdS3

2025-06-20

Roberto Auzzi , Stefano Bolognesi , Giuseppe Nardelli +2 more | Journal of High Energy Physics

A bstract We study soliton and black hole solutions with scalar hair in AdS 3 in a theory with a Maxwell field and a charged scalar field with double trace … A bstract We study soliton and black hole solutions with scalar hair in AdS 3 in a theory with a Maxwell field and a charged scalar field with double trace boundary conditions, which can trigger the dual boundary theory to become a superconductor. We investigate the phase diagram as a function of the temperature T and of the double trace coupling κ and we find a rich pattern of phase transitions, which can be of the Hawking-Page kind or can be due to the condensation of the order parameter. We also find a transition between vortex solutions and the zero temperature limit of the black hole for a critical value of the double trace coupling κ . The Little-Park periodicity is realized for the dual of the black hole solution with hair as a shift in the winding number and in the gauge field.

Analysis of Geometric, Scalar Field, and Thermodynamic Properties of Hayward-like AdS Black Holes with Phantom Global Monopoles

2025-06-20

Faizuddin Ahmed , Ahmad Al‐Badawi , İzzet Sakallı | International Journal of Modern Physics D

Most likely configurations for fermion localization in f(Q,BQ)-gravity braneworlds

2025-06-20

A. R. P. Moreira , Shi‐Hai Dong , Manuel E. Rodrigues | International Journal of Modern Physics D

Mixed ’t Hooft anomalies and the Witten effect for AdS black holes

2025-06-19

Matthew Heydeman , Chiara Toldo | Journal of High Energy Physics

A bstract For a variety of BPS black holes in string theory, the supersymmetric index has provided a microscopic validation of the Bekenstein-Hawking formula. In the near-BPS limit, a gravitational … A bstract For a variety of BPS black holes in string theory, the supersymmetric index has provided a microscopic validation of the Bekenstein-Hawking formula. In the near-BPS limit, a gravitational path integral analysis previously revealed the semiclassical spectrum is modified, having a large extremal degeneracy (consistent with the index) and a mass gap up to a continuum of non-BPS black holes. Presently, we study examples in which these sharp features of the spectrum are altered due to the presence of anomalies in the form of ϑ -angle terms in the action. These may appear generally, but we focus on near-BPS dyonic AdS 4 black holes in M-theory, dual to 3d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 SCFTs of Class R obtained by twisted compactification of N wrapped M5 branes. Due to the Witten effect, the dyonic black holes receive quantum corrections to their charges, and when ϑ = π one may find a mixed ‘t Hooft anomaly between the U(1) R and ℤ 2 time reversal symmetries. Using results from $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 JT supergravity, we find these effects result in a spectrum in which both the gap and index are reduced, and may even vanish. Surprisingly, for ϑ → π , neither the Bekenstein-Hawking formula nor the index correctly account for the extremal degeneracies.

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Equivalence proof of pure spinor and Ramond-Neveu-Schwarz superstring amplitudes

2025-06-19

Nathan Berkovits | Journal of High Energy Physics

A bstract A new manifestly spacetime-supersymmetric prescription for superstring amplitude computations is given using the pure spinor formalism which does not contain subtleties from poles in the pure spinor ghosts. … A bstract A new manifestly spacetime-supersymmetric prescription for superstring amplitude computations is given using the pure spinor formalism which does not contain subtleties from poles in the pure spinor ghosts. This super-Poincaré covariant prescription is related by a U(5)-covariant field redefinition to the Ramond-Neveu-Schwarz amplitude prescription where the pure spinor parameterizes the choice of SO(10)/U(5). For F -term scattering amplitudes which preserve a subset of the spacetime supersymmetries, the new pure spinor amplitude prescription reduces to the previous pure spinor prescription.

Uniform electric field solutions in Einstein–Maxwell-Dilaton gravity

2025-06-19

S. Habib Mazharimousavi | The European Physical Journal C

Abstract We revisit static, spherically symmetric black hole solutions within the framework of Einstein–Maxwell-Dilaton (EMD) theory, assuming a constant (uniform) Maxwell invariant. By introducing an appropriate dilaton potential and solving … Abstract We revisit static, spherically symmetric black hole solutions within the framework of Einstein–Maxwell-Dilaton (EMD) theory, assuming a constant (uniform) Maxwell invariant. By introducing an appropriate dilaton potential and solving the resulting coupled field equations, we obtain non-asymptotically flat (NAF) black hole spacetimes. Our analysis demonstrates that even under a uniform Maxwell invariant, the EMD theory remains fundamentally distinct from Einstein-Scalar (ES) theory. To highlight these distinctions, we examine both the thermodynamic properties of the solutions and the tidal forces acting on an infalling extended object. In particular, we identify characteristic features in the radial and angular tidal components near the horizon and singularity. The presence of the electric field shifts the radius at which radial compression transitions to stretching and alters the intensity of angular compression, underscoring the crucial role of non-minimal electromagnetic couplings in shaping the global geometry and physical behavior of the spacetime. These results contribute to a deeper understanding of NAF black holes in dilaton-modified gravity frameworks.

Toolkit for general 2d scalar potential in LCT

2025-06-19

A. Liam Fitzpatrick , Emanuel Katz , Y. L. Xin | Journal of High Energy Physics

A bstract We present efficient algorithms for obtaining the Hamiltonian in Lightcone Conformal Truncation (LCT) for a 2d scalar field with a generic potential. We apply this method to the … A bstract We present efficient algorithms for obtaining the Hamiltonian in Lightcone Conformal Truncation (LCT) for a 2d scalar field with a generic potential. We apply this method to the sine-Gordon and sinh-Gordon models in 1 +1 d , and find precise agreement with integrability results when the scaling dimension ∆ of the deforming cosine/cosinh potential is in the range ∆ ≤ 1. The agreement provides additional evidence for a recent conjecture for how to compute the effective lightcone Hamiltonian in this class of models. In addition, to high precision, we provide the first direct confirmation for the conjectured self-duality of the sinh-Gordon model (∆ < 0), which relates ∆ ↔ 4/∆. As the dimension approaches the upper limit ∆ = 1 from below, we show analytically that the Hamiltonian matrix elements exactly reproduce those of a free Majorana fermion, demonstrating how bosonization is manifested in the LCT basis. We comment on the possible extension of the approach to ∆ > 1.

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Bulk-boundary entanglement correspondence and the Ryu-Takayanagi conjecture in an AdS2/CFT1 setup

2025-06-19

Gabriel Lopes Cardoso , Bernardo Moniz Martins , Suresh Nampuri | Journal of High Energy Physics

A bstract Using recent developments in expressing one-loop partition functions in Euclidean AdS 2 space-times in terms of character integrals, we relate the one-loop effective action for a free field … A bstract Using recent developments in expressing one-loop partition functions in Euclidean AdS 2 space-times in terms of character integrals, we relate the one-loop effective action for a free field theory in AdS 2 (comprised of a massless scalar field and a massless Majorana fermion field) to the partition function of the de Alfaro-Fubini-Furlan (DFF) conformal quantum mechanics (CQM) models on the two global AdS 2 boundaries. The equal number of bosonic and fermionic degrees in the field theory guarantee that the one-loop calculation is free of all UV divergences except a logarithmic one consistent with the expected entanglement entropy behaviour in a CQM. Via a thermofield double representation, we compute the entanglement entropy between two copies of the CFT 1 (CQM), each living near one of the two boundaries of global AdS 2 , in a state at global time τ → – ∞. This entanglement entropy is expressed in terms of the logarithm of the regularised length of a closed particle trajectory infinitesimally near the rim of the Euclidean AdS 2 disc. We view this relation between boundary quantum entanglement and a bulk geometrical quantity as the AdS 2 / CFT 1 version of the Ryu-Takayanagi conjecture in our setup. The boundary entanglement entropy is equal to 4 times the thermodynamic entropy read off from the regularised one-loop effective action in AdS 2 . Further, we compute the bulk entanglement entropy associated with black hole horizons in Lorentzian AdS 2 and show that it precisely matches the boundary entanglement entropy.

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Continuous symmetry defects and brane/anti-brane systems

2025-06-19

Hugo Calvo , Francesco Mignosa , Diego Rodrı́guez-Gómez | Journal of High Energy Physics

A bstract We explicitly compute correlation functions with the insertion of a continuous symmetry defect in bosonic field theories. To recover its expected action on the charged operators, the definition … A bstract We explicitly compute correlation functions with the insertion of a continuous symmetry defect in bosonic field theories. To recover its expected action on the charged operators, the definition of the defect must be modified to include a specific contact term. This can be regarded as a singular background gauge field for the global symmetry. It can be traced to the definition of the generating functional for current correlators, where the source is akin to a background gauge field for the symmetry. For holographic theories, it has been proposed that continuous symmetry defects are realized in terms of non-BPS D ( q – 1) branes. We argue that these can be regarded as $$ Dq/\overline{Dq} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Dq</mml:mi> <mml:mo>/</mml:mo> <mml:mover> <mml:mi>Dq</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> system and show its application to the case of the baryonic symmetry in the Klebanov-Witten theory. The $$ Dq/\overline{Dq} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>Dq</mml:mi> <mml:mo>/</mml:mo> <mml:mover> <mml:mi>Dq</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> can be regarded as a particular regularization of the defect, holographically realizing the field theory discussion.

Modular evolutions and causality in two-dimensional conformal field theory

2025-06-19

Darko Jovanović , Mihail Mintchev , Erik Tonni | Journal of High Energy Physics

A bstract In two-dimensional conformal field theories (CFT) in Minkowski spacetime, we study the spacetime distance between two events along two distinct modular trajectories. When the spatial line is bipartite … A bstract In two-dimensional conformal field theories (CFT) in Minkowski spacetime, we study the spacetime distance between two events along two distinct modular trajectories. When the spatial line is bipartite by a single interval, we consider both the ground state and the state at finite different temperatures for the left and right moving excitations. For the free massless Dirac field in the ground state, the bipartition of the line given by the union of two disjoint intervals is also investigated. The modular flows corresponding to connected subsystems preserve relativistic causality. Locality along the modular flows of some fields is explored by evaluating their (anti-)commutators. In particular, the bilocal nature of the modular Hamiltonian of two disjoint intervals for the massless Dirac field provide multiple trajectories leading to Dirac delta contributions in the (anti-)commutators even when the initial points belong to different intervals, thus being spacelike separated.

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Looking at bulk points in general geometries

2025-06-19

Simon Caron-Huot , Joydeep Chakravarty , Keivan Namjou | Journal of High Energy Physics

A bstract The holographic correspondence predicts that certain strongly coupled quantum systems describe an emergent, higher-dimensional bulk spacetime in which excitations enjoy local dynamics. We consider a general holographic state … A bstract The holographic correspondence predicts that certain strongly coupled quantum systems describe an emergent, higher-dimensional bulk spacetime in which excitations enjoy local dynamics. We consider a general holographic state dual to an asymptotically AdS bulk spacetime, and study boundary correlation functions of local fields integrated against wavepackets. We derive a factorization formula showing that when the wavepackets suitably meet at a common bulk point, the boundary correlators develop sharp features controlled by flat-space-like bulk scattering processes. These features extend along boundary hyperboloids whose shape naturally reveals the bulk geometry. We discuss different choices of operator ordering, which lead to inclusive and out-of-time-ordered amplitudes, as well as fields of various spins and masses.

Three family supersymmetric Pati-Salam model from rigid intersecting D6 branes

2025-06-19

NULL AUTHOR_ID | Physical review. D/Physical review. D.

Lower Dimensional Black Holes in Nonlinear Electrodynamics: Causal Structure and Scalar Perturbations

2025-06-19

R. D. B. Fontana | Universe

We study the charged black-hole solutions of a 2 + 1 nonlinear electrodynamical theory with a cosmological constant. Considered as a one-parameter group of theories (the exponent of the squared … We study the charged black-hole solutions of a 2 + 1 nonlinear electrodynamical theory with a cosmological constant. Considered as a one-parameter group of theories (the exponent of the squared Maxwell tensor), the causal structure of all possible black holes is scrutinized. We analyze the singularity character that each theory delivers, together with their horizons and the plausible limitations in black-hole charges. The investigation demonstrates a rich structure of three different groups of theories according to the qualitative behavior of the singularity, horizons and limitations in the geometric charges. For such groups, we study the effect of a scalar field propagating in the spacetime of fixed black holes. All analyzed geometries are stable to such linear perturbations, evolving as usual quasinormal spectra of the black holes calculated for the different cases.

Reframing Classical Mechanics: An AKSZ Sigma Model Perspective

2025-06-19

Thomas Basile , Nicolas Boulanger , Arghya Chattopadhyay | Universe

The path-integral re-formulation due to E. Gozzi, M. Regini, M. Reuter, and W. D. Thacker of Koopman and von Neumann’s original operator formulation of a classical Hamiltonian system on a … The path-integral re-formulation due to E. Gozzi, M. Regini, M. Reuter, and W. D. Thacker of Koopman and von Neumann’s original operator formulation of a classical Hamiltonian system on a symplectic manifold M is identified as a gauge slice of a one-dimensional Alexandrov–Kontsevich–Schwarz–Zaboronsky sigma model with target T*(T[1]M×R[1]).

Diagonalization Procedure for Reducible Massless N=1 Supermultiplets

2025-06-18

Keith Glennon , Mirian Tsulaia | Journal of Physics A Mathematical and Theoretical

Abstract We consider N=1 supersymmetric systems in d=4, 6 and 10 dimensions which consist of reducible bosonic and fermionic massless representations of the Poincare group. We show in detail how … Abstract We consider N=1 supersymmetric systems in d=4, 6 and 10 dimensions which consist of reducible bosonic and fermionic massless representations of the Poincare group. We show in detail how to decompose the corresponding Lagrangians into a sum of Lagrangians for irreducible representations of the Poincare group. We also outline a modification of this procedure in the case of an anti-de Sitter background.

Dissecting supergraviton six-point function with lightcone limits and chiral algebra

2025-06-18

Vasco Gonçalves , Maria Nocchi , Xinan Zhou | Journal of High Energy Physics

A bstract We develop a bootstrap strategy to obtain the six-point function of supergravitons in AdS 5 × S 5 from symmetry constraints and consistency conditions. Compared to previous bootstrap … A bstract We develop a bootstrap strategy to obtain the six-point function of supergravitons in AdS 5 × S 5 from symmetry constraints and consistency conditions. Compared to previous bootstrap algorithms, a novel feature is the use of lightcone OPEs together with the chiral algebra constraint. This makes it possible to isolate different parts of the correlator and fix them separately. Our strategy allows us to gain a refined understanding of the power of different bootstrap constraints, which is also useful for computing more general correlators.

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Investigating (non)-integrability and pulsating string in D3-brane background

2025-06-18

Rashmi R. Nayak , Kamal L. Panigrahi , Manoranjan Samal +1 more | The European Physical Journal C

Abstract This work explores the (non)-integrability and chaotic dynamics of classical strings in the background of a D3-brane with a non-commutative parameter, within the framework of the AdS/CFT correspondence. Using … Abstract This work explores the (non)-integrability and chaotic dynamics of classical strings in the background of a D3-brane with a non-commutative parameter, within the framework of the AdS/CFT correspondence. Using the Polyakov action, we derive the equations of motion and constraints for pulsating strings and analyze their stability through perturbation theory. In the high-energy limit, the first-order perturbed equation simplifies to the Pöschl–Teller equation, solvable via associated Legendre or hypergeometric functions, while numerical methods are employed for generic energy values. We demonstrate that the non-commutative parameter enhances chaotic behavior, as evidenced by the Largest Lyapunov Exponent (LLE). Furthermore, we investigate the integrability of geodesic motion and identify two distinct string modes: captured at and escape to infinity. Finally, we study pulsating strings in the deformed $$(AdS_{3} \times S^{2})_{\varkappa }$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>A</mml:mi> <mml:mi>d</mml:mi> <mml:msub> <mml:mi>S</mml:mi> <mml:mn>3</mml:mn> </mml:msub> <mml:mo>×</mml:mo> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>2</mml:mn> </mml:msup> <mml:mo>)</mml:mo> </mml:mrow> <mml:mi>ϰ</mml:mi> </mml:msub> </mml:math> background, deriving dispersion relations for both short and long strings.

An exterior EFT for Hawking radiation

2025-06-18

R. Loganayagam , Godwin Martin | Journal of High Energy Physics

A bstract We propose a general conjecture for evaluating the multiple-discontinuity integrals that appear in real-time holography using gravitational Schwinger-Keldysh (grSK) geometry. Our conjecture is valid for arbitrary non-derivative interactions … A bstract We propose a general conjecture for evaluating the multiple-discontinuity integrals that appear in real-time holography using gravitational Schwinger-Keldysh (grSK) geometry. Our conjecture is valid for arbitrary non-derivative interactions with any number of bulk tree-level exchanges. It is also consistent with a unitary exterior EFT at finite temperature with correct causal structure. We present a set of Feynman rules underlying this exterior EFT and illustrate it with the computation of four and five-point functions.

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The spectrum of near-BPS Kerr-Newman black holes and the ABJM mass gap

2025-06-18

Matthew Heydeman , Chiara Toldo | Journal of High Energy Physics

A bstract Supersymmetric rotating 1/16-BPS black holes in AdS 4 × S 7 are expected to capture the average degeneracy of BPS states in the dual ABJM superconformal theory for … A bstract Supersymmetric rotating 1/16-BPS black holes in AdS 4 × S 7 are expected to capture the average degeneracy of BPS states in the dual ABJM superconformal theory for given fixed charges. This has been successfully demonstrated for the superconformal index using complexified black hole metrics, but a naive Gibbons-Hawking calculation of the actual degeneracies in the low temperature limit is invalid due to large quantum fluctuations of the near horizon AdS 2 metric. We argue that in a particular mixed grand/canonical ensemble, these fluctuations of the near-BPS Kerr-Newman black holes are described by a version of the $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 super-Schwarzian theory with SU(1,1|1) symmetry. Using this description as well as properties of ABJM, we recover the large N superconformal index and find a characteristic “mass gap” of order N − 3 / 2 between the 1/16-BPS states and the lightest near BPS state. We further make a prediction for the operator dimension spectrum above the gap in the large N , low T limit. Our results are consistent with the Bekenstein-Hawking formula at large energies, random matrix theory at low energies, and the microscopic index.

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Borel singularities and Stokes constants of the topological string free energy on one-parameter Calabi-Yau threefolds

2025-01-09

Simon Douaud , Amir-Kian Kashani-Poor

We study the Borel plane of the topological string free energy on all hypergeometric one-parameter Calabi-Yau models close to singular points in moduli space, focusing on the location of Borel … We study the Borel plane of the topological string free energy on all hypergeometric one-parameter Calabi-Yau models close to singular points in moduli space, focusing on the location of Borel singularities and the value of the associated Stokes constants. We find in particular that in models which exhibit massless D-branes at a singular point, the central charge of the D-brane close to the singular point coincides with the location of the leading Borel singularity, and the generalized Donaldson-Thomas invariant associated to the charge of the D-brane, in as far as its value is known, coincides with the Stokes constant associated to the Borel singularity.

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