+
|
Baxter Q-Operators in Ruijsenaars–Sutherland Hyperbolic Systems: One- and Two-Particle Cases
|
2024
|
N. Belousov
S. É. Derkachov
S. Kharchev
S. Khoroshkin
|
+
PDF
Chat
|
Reflection operator and hypergeometry II: $SL(2, \mathbb{C})$ spin chain
|
2024
|
P. V. Antonenko
N. Belousov
S. É. Derkachov
P. A. Valinevich
|
+
|
Baxter Operators in Ruijsenaars Hyperbolic System IV: Coupling Constant Reflection Symmetry
|
2024
|
Nikita Belousov
S. É. Derkachov
S. Kharchev
S. Khoroshkin
|
+
PDF
Chat
|
Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles
|
2023
|
S. É. Derkachov
A. P. Isaev
L. A. Shumilov
|
+
|
Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles
|
2023
|
S. É. Derkachov
A. P. Isaev
L. A. Shumilov
|
+
PDF
Chat
|
Elliptic hypergeometric function and $$6j$$-symbols for the $$SL(2,{\mathbb C})$$ group
|
2022
|
S. É. Derkachov
Gor Sarkissian
V. P. Spiridonov
|
+
PDF
Chat
|
Regular Representation of the Group GL(N, ℝ): Factorization, Casimir Operators and Toda Chain
|
2022
|
N. Belousov
S. É. Derkachov
|
+
|
Conformal triangles and zig-zag diagrams
|
2022
|
S. É. Derkachov
A. P. Isaev
L. A. Shumilov
|
+
PDF
Chat
|
Mirror channel eigenvectors of the d-dimensional fishnets
|
2021
|
S. É. Derkachov
Gwenaël Ferrando
Enrico Olivucci
|
+
PDF
Chat
|
Conformal quantum mechanics & the integrable spinning Fishnet
|
2021
|
S. É. Derkachov
Enrico Olivucci
|
+
|
Mirror channel eigenvectors of the $d$-dimensional fishnets
|
2021
|
S. É. Derkachov
Gwenaël Ferrando
Enrico Olivucci
|
+
PDF
Chat
|
Completeness of the 3j-Symbols for the Group SL(2, ℂ)
|
2021
|
N. Belousov
S. É. Derkachov
|
+
PDF
Chat
|
ompleteness of SoV Representation for SL(2,R) Spin Chains
|
2021
|
S. É. Derkachov
Karol K. Kozłowski
A. N. Manashov
|
+
|
Conformal quantum mechanics & the integrable spinning Fishnet
|
2021
|
S. É. Derkachov
Enrico Olivucci
|
+
PDF
Chat
|
Exactly solvable single-trace four point correlators in χCFT4
|
2021
|
S. É. Derkachov
Enrico Olivucci
|
+
PDF
Chat
|
Exactly Solvable Magnet of Conformal Spins in Four Dimensions
|
2020
|
S. É. Derkachov
Enrico Olivucci
|
+
PDF
Chat
|
On Complex Gamma-Function Integrals
|
2020
|
S. É. Derkachov
A. N. Manashov
|
+
|
Separation of Variables for the Quantum SL(3,ℂ) Spin Magnet: Eigenfunctions of the Sklyanin B-Operator
|
2019
|
S. É. Derkachov
P. A. Valinevich
|
+
PDF
Chat
|
The Q-Operator for the Quantum NLS Model
|
2019
|
N. Belousov
S. É. Derkachov
|
+
PDF
Chat
|
On the Separation of Variables for the Modular XXZ Magnet and the Lattice Sinh-Gordon Models
|
2019
|
S. É. Derkachov
Karol K. Kozłowski
A. N. Manashov
|
+
|
SOS-Representation for the SL(2,ℂ)-Invariant R-Operator and Feynman Diagrams
|
2019
|
P. A. Valinevich
S. É. Derkachov
A. P. Isaev
|
+
|
Orthogonal Polynomials, 6J-Symbols, and Statistical Weights of SOS Models
|
2019
|
P. A. Valinevich
S. É. Derkachov
A. P. Isaev
A. V. Komisarchuk
|
+
|
The 6j-Symbols for the SL(2, ℂ) Group
|
2019
|
S. É. Derkachov
V. P. Spiridonov
|
+
|
Separation of variables for the quantum $SL(3,\mathbb C)$ spin magnet: eigenfunctions of Sklyanin $B$-operator
|
2018
|
S. É. Derkachov
P. A. Valinevich
|
+
PDF
Chat
|
SL(2,C) Gustafson Integrals
|
2018
|
S. É. Derkachov
A. N. Manashov
P. A. Valinevich
|
+
|
Q-operator for the quantum NLS model
|
2018
|
N. Belousov
S. É. Derkachov
|
+
|
Separation of variables for the quantum SL(3,C) spin magnet: eigenfunctions of Sklyanin B-operator
|
2018
|
S. É. Derkachov
P. A. Valinevich
|
+
|
On the 6j-symbols for SL(2,C) group
|
2017
|
S. É. Derkachov
V. P. Spiridonov
|
+
PDF
Chat
|
Gustafson integrals for $SL(2, \mathbb{C})$ spin magnet
|
2017
|
S. É. Derkachov
A. N. Manashov
P. A. Valinevich
|
+
PDF
Chat
|
Spin chains and Gustafson’s integrals
|
2017
|
S. É. Derkachov
A. N. Manashov
|
+
|
On the 6j-symbols for SL(2,C) group
|
2017
|
S. É. Derkachov
V. P. Spiridonov
|
+
|
Construction of eigenfunctions for a system of quantum minors of the monodromy matrix for an SL(n,ℂ)-invariant spin chain
|
2016
|
P. A. Valinevich
S. É. Derkachov
P. P. Kulish
Evgenii Mikhailovich Uvarov
|
+
PDF
Chat
|
From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation
|
2016
|
Dmitry Chicherin
S. É. Derkachov
Vyacheslav P. Spiridonov
|
+
PDF
Chat
|
New Elliptic Solutions of the Yang–Baxter Equation
|
2016
|
Dmitry Chicherin
S. É. Derkachov
V. P. Spiridonov
|
+
PDF
Chat
|
Matrix Factorization for Solutions of the Yang–Baxter Equation
|
2016
|
S. É. Derkachov
Dmitry Chicherin
|
+
PDF
Chat
|
Finite-dimensional representations of the elliptic modular double
|
2015
|
S. É. Derkachov
V. P. Spiridonov
|
+
|
Matrix factorization for solutions of the Yang-Baxter equation
|
2015
|
Dmitry Chicherin
S. É. Derkachov
|
+
|
Integrability of the evolution equations for heavy–light baryon distribution amplitudes
|
2014
|
V. M. Braun
S. É. Derkachov
A. N. Manashov
|
+
|
Dual conformal symmetry on the light cone
|
2014
|
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
PDF
Chat
|
Iterative construction of eigenfunctions of the monodromy matrix for $SL(2,\mathbb {C})$ magnet
|
2014
|
S. É. Derkachov
A. N. Manashov
|
+
|
Quantum mechanics of null polygonal Wilson loops
|
2014
|
A.V. Belitsky
S. É. Derkachov
A. N. Manashov
|
+
PDF
Chat
|
The R-operator for a modular double
|
2014
|
Dmitry Chicherin
S. É. Derkachov
|
+
|
Yang–Baxter operators and scattering amplitudes in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn></mml:math> super-Yang–Mills theory
|
2014
|
Dmitry Chicherin
S. É. Derkachov
R. Kirschner
|
+
PDF
Chat
|
The spinorial<i>R</i>-matrix
|
2013
|
Dmitry Chicherin
S. É. Derkachov
A. P. Isaev
|
+
PDF
Chat
|
Conformal algebra: R-matrix and star-triangle relation
|
2013
|
Dmitry Chicherin
S. É. Derkachov
A. P. Isaev
|
+
|
3j-symbol for the modular double of SL_q(2,R) revisited
|
2013
|
S. É. Derkachov
Людвиг Дмитриевич Фаддеев
|
+
|
Finite-dimensional representations of the elliptic modular double
|
2013
|
S. É. Derkachov
V. P. Spiridonov
|
+
|
3j-symbol for the modular double of SL_q(2,R) revisited
|
2013
|
S. É. Derkachov
Людвиг Дмитриевич Фаддеев
|
+
PDF
Chat
|
Baxter operators with deformed symmetry
|
2012
|
Dmitry Chicherin
S. É. Derkachov
D. Karakhanyan
R. Kirschner
|
+
PDF
Chat
|
Baxter operators for arbitrary spin
|
2011
|
Dmitry Chicherin
S. É. Derkachov
D. Karakhanyan
R. Kirschner
|
+
PDF
Chat
|
Baxter operators for arbitrary spin II
|
2011
|
Dmitry Chicherin
S. É. Derkachov
D. Karakhanyan
R. Kirschner
|
+
PDF
Chat
|
On rational symplectic parametrization of the coadjoint orbit of $\mathrm{GL}(N)$. Diagonalizable case
|
2011
|
M. V. Babich
S. É. Derkachov
|
+
PDF
Chat
|
Noncompact sl(N) Spin Chains: BGG-Resolution, Q-Operators and Alternating Sum Representation for Finite-Dimensional Transfer Matrices
|
2011
|
S. É. Derkachov
A. N. Manashov
|
+
|
Noncompact sl(N) spin chains: Alternating sum representation for finite dimensional transfer matrices
|
2010
|
S. É. Derkachov
A. N. Manashov
|
+
|
The green function in the quantum coulomb problem
|
2010
|
S. É. Derkachov
Dmitry Chicherin
|
+
PDF
Chat
|
Factorization of \mathcal{R} -matrix and Baxter \mathcal{Q} -operators for generic<i>sl</i>(<i>N</i>) spin chains
|
2009
|
S. É. Derkachov
A. N. Manashov
|
+
PDF
Chat
|
Iterative Construction of U q (s ℓ(n+1)) Representations and Lax Matrix Factorisation
|
2008
|
S. É. Derkachov
D. Karakhanyan
R. Kirschner
P. A. Valinevich
|
+
PDF
Chat
|
Factorization of the \mathcal{R}-matrix for the quantum algebra Uq(sℓ3)
|
2008
|
P. A. Valinevich
S. É. Derkachov
D. Karakhanyan
R. Kirschner
|
+
PDF
Chat
|
Factorization of the R-matrix and Baxter’s Q-operator
|
2008
|
S. É. Derkachov
|
+
PDF
Chat
|
Factorization of the % MathType!MTEF!2!1!+- % feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWefv3ySLgznf % gDOfdaryqr1ngBPrginfgDObYtUvgaiuaacqWFBeIuaaa!408A! $$ \mathcal{R} $$ -matrix for the quantum algebra U q (sℓ3)
|
2008
|
P. A. Valinevich
S. É. Derkachov
D. Karakhanyan
R. Kirschner
|
+
PDF
Chat
|
Yang–Baxter -operators and parameter permutations
|
2007
|
S. É. Derkachov
D. Karakhanyan
R. Kirschner
|
+
|
Factorization of the R-matrix. II
|
2007
|
S. É. Derkachov
|
+
PDF
Chat
|
Factorization of the R-matrix. I
|
2007
|
S. É. Derkachov
|
+
PDF
Chat
|
R-Matrix and Baxter Q-Operators for the Noncompact SL(N,C) Invariant Spin Chain
|
2006
|
S. É. Derkachov
|
+
PDF
Chat
|
Baxter operators for the noncompact quantum<i>sl</i>(3) invariant spin chain
|
2006
|
S. É. Derkachov
A. N. Manashov
|
+
PDF
Chat
|
Factorization of the transfer matrices for the quantum<i>s</i>ell(2) spin chains and Baxter equation
|
2006
|
S. É. Derkachov
A. N. Manashov
|
+
PDF
Chat
|
Baxter Q-operators of the XXZ chain and R-matrix factorization
|
2006
|
S. É. Derkachov
D. Karakhanyan
R. Kirschner
|
+
PDF
Chat
|
Factorization of R-matrix and Baxter's Q-operator
|
2005
|
S. É. Derkachov
|
+
PDF
Chat
|
Superconformal operators in Yang–Mills theories on the light-cone
|
2005
|
A.V. Belitsky
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
|
Factorization of the R-matrix.II
|
2005
|
S. É. Derkachov
|
+
|
Factorization of the R-matrix.I
|
2005
|
S. É. Derkachov
|
+
PDF
Chat
|
Dilatation operator in (super-)Yang–Mills theories on the light-cone
|
2004
|
A.V. Belitsky
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
PDF
Chat
|
Superconformal operators in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>4</mml:mn><mml:mn /></mml:math>super-Yang-Mills theory
|
2004
|
A.V. Belitsky
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
PDF
Chat
|
Quantum integrability in (super) Yang–Mills theory on the light-cone
|
2004
|
A.V. Belitsky
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
PDF
Chat
|
Universal R operator with Jordanian deformation of conformal symmetry
|
2003
|
S. É. Derkachov
D. Karakhanyan
R. Kirschner
|
+
PDF
Chat
|
Baxter Bbb Q-operator and separation of variables for the open SL(2,Bbb R) spin chain
|
2003
|
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
PDF
Chat
|
Separation of variables for the quantum SL(<i>2,Bbb R</i>) spin chain
|
2003
|
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
PDF
Chat
|
Noncompact Heisenberg spin magnets from high-energy QCD III. Quasiclassical approach
|
2003
|
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
PDF
Chat
|
Noncompact Heisenberg spin magnets from high-energy QCD: I. Baxter Q-operator and Separation of Variables
|
2003
|
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
PDF
Chat
|
Noncompact Heisenberg spin magnets from high-energy QCD: III. Quasiclassical approach
|
2003
|
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
PDF
Chat
|
Separation of variables for the quantum SL(2,R) spin chain
|
2003
|
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
PDF
Chat
|
Noncompact Heisenberg spin magnets from high-energy QCD II. Quantization conditions and energy spectrum
|
2002
|
S. É. Derkachov
G.P. Korchemsky
Jan Kotanski
A. N. Manashov
|
+
PDF
Chat
|
Universal -matrix as integral operator
|
2001
|
S. É. Derkachov
D. Karakhanyan
R. Kirschner
|
+
PDF
Chat
|
Noncompact Heisenberg spin magnets from high-energy QCD
|
2001
|
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
PDF
Chat
|
Parton interactions in the Bjorken limit of QCD
|
2001
|
S. É. Derkachov
R. Kirschner
|
+
PDF
Chat
|
Heisenberg spin chains based on sℓ(2|1) symmetry
|
2000
|
S. É. Derkachov
D. Karakhanyan
R. Kirschner
|
+
PDF
Chat
|
Computation of quark mass anomalous dimension at O(1/N2) in quantum chromodynamics
|
2000
|
M. Ciuchini
S. É. Derkachov
J. A. Gracey
A. N. Manashov
|
+
PDF
Chat
|
Evolution equations for quark–gluon distributions in multi-color QCD and open spin chains
|
2000
|
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
PDF
Chat
|
Quark mass anomalous dimension at O(1/Nf2) in QCD
|
1999
|
M. Ciuchini
S. É. Derkachov
J. A. Gracey
A. N. Manashov
|
+
PDF
Chat
|
Baryon distribution amplitudes in QCD
|
1999
|
V. M. Braun
S. É. Derkachov
G.P. Korchemsky
A. N. Manashov
|
+
PDF
Chat
|
Baxter's<i>Q</i>-operator for the homogeneous<i>XXX</i>spin chain
|
1999
|
S. É. Derkachov
|
+
PDF
Chat
|
Integrability of Three-Particle Evolution Equations in QCD
|
1998
|
V. M. Braun
S. É. Derkachov
A. N. Manashov
|
+
|
Critical dimensions of composite operators in the nonlinear σ-model
|
1998
|
S. É. Derkachov
A. N. Manashov
|
+
PDF
Chat
|
A simple scheme for the calculation of the anomalous dimensions of composite operators in the 1/N expansion
|
1998
|
S. É. Derkachov
A. N. Manashov
|
+
PDF
Chat
|
Four loop anomalous dimensions of gradient operators in
|
1998
|
S. É. Derkachov
J. A. Gracey
A. N. Manashov
|
+
PDF
Chat
|
Stability Problem in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">O</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">N</mml:mi><mml:mo>)</mml:mo></mml:math>Nonlinear Sigma Model
|
1997
|
S. É. Derkachov
A. N. Manashov
|
+
PDF
Chat
|
High-gradient operators in the N-vector model
|
1997
|
S. É. Derkachov
Stefan Kehrein
A. N. Manashov
|
+
PDF
Chat
|
Generic scaling relation in the scalar model
|
1996
|
S. É. Derkachov
A. N. Manashov
|
+
PDF
Chat
|
The spectrum of the anomalous dimensions of composite operators in the ge-expansion in the N-vector models
|
1995
|
S. É. Derkachov
A. N. Manashov
|
+
|
Diffeomorphism symmetry in phi<sup>4</sup>field theory
|
1994
|
S. É. Derkachov
Yu. M. Pis’mak
|
+
|
On Calculation of 1/n Expansions of Critical Exponents in the Gross-Neveu Model with the Conformal Technique
|
1993
|
S. É. Derkachov
N. Kivel
A. S. Stepanenko
A. N. Vasiliev
|
+
|
Three-loop calculation of the random walk problem: an application of dimensional transformation and the uniqueness method
|
1990
|
S. É. Derkachov
Juha Honkonen
Yu. M. Pis’mak
|
+
|
Three-loop calculation of the anomalous dimension of diffusivity for a model of a random walk in a potential random field with long-range correlations
|
1990
|
S. É. Derkachov
Juha Honkonen
Yu. M. Pis’mak
|
+
|
Renormalisation of random walks with memory
|
1990
|
S. É. Derkachov
Juha Honkonen
A. N. Vasil’ev
|