Wronskian solution for AdS/CFT Y-system

Type: Article

Publication Date: 2011-01-01

Citations: 57

DOI: https://doi.org/10.1007/jhep01(2011)155

Abstract

Using the discrete Hirota integrability we find the general solution of the full quantum Y-system for the spectrum of anomalous dimensions of operators in the planar AdS5/CFT4 correspondence in terms of Wronskian-like determinants parameterized by a finite number of Baxter's Q-functions. We consider it as a useful step towards the construction of a finite system of non-linear integral equations (FiNLIE) for the full spectrum. The explicit asymptotic form of all the Q-functions for the large size operators is presented. We establish the symmetries and the analyticity properties of the asymptotic Q-functions and discuss their possible generalization to any finite size operators.

Locations

  • Journal of High Energy Physics - View - PDF
  • arXiv (Cornell University) - View - PDF
  • HAL (Le Centre pour la Communication Scientifique Directe) - View
  • DataCite API - View

Similar Works

Action Title Year Authors
+ PDF Chat Solving the AdS/CFT Y-system 2012 Nikolay Gromov
Vladimir Kazakov
SĂ©bastien Leurent
Dmytro Volin
+ PDF Chat Discrete Hirota dynamics for AdS/CFT 2009 Árpåd HegedƱs
+ PDF Chat Quantum spectral curve for arbitrary state/operator in AdS5/CFT4 2015 Nikolay Gromov
Vladimir Kazakov
SĂ©bastien Leurent
Dmytro Volin
+ PDF Chat Classical equation of motion and anomalous dimensions at leading order 2016 Keita Nii
+ PDF Chat T-system on T-hook: Grassmannian solution and twisted Quantum Spectral Curve 2016 Vladimir Kazakov
SĂ©bastien Leurent
Dmytro Volin
+ PDF Chat Anomalous dimensions of non-chiral operators from AdS/CFT 2011 A. Liam Fitzpatrick
David Shih
+ Review of AdS/CFT Integrability, Chapter III.1 2010 Matthias Staudacher
+ PDF Chat First-principles derivation of the AdS/CFT Y-systems 2011 Raphaël Benichou
+ Finite size spectrum of SU ( N ) principal chiral field from discrete Hirota dynamics 2015 Vladimir Kazakov
SĂ©bastien Leurent
+ PDF Chat From finite geometry exact quantities to (elliptic) scattering amplitudes for spin chains: the 1/2-XYZ 2005 Davide Fioravanti
Marco Rossi
+ PDF Chat QQ-system and non-linear integral equations for scattering amplitudes at strong coupling 2020 Davide Fioravanti
Marco Rossi
Hongfei Shu
+ PDF Chat Quantum integrability and functional equations: applications to the spectral problem of AdS/CFT and two-dimensional sigma models 2011 Dmytro Volin
+ Q-operators, Yangian invariance and the quantum inverse scattering method 2014 Rouven Frassek
+ Q-operators, Yangian invariance and the quantum inverse scattering method 2014 Rouven Frassek
+ PDF Chat PSU(2, 2|4) character of quasiclassical AdS/CFT 2010 Nikolay Gromov
Vladimir Kazakov
Zengo Tsuboi
+ PDF Chat Review of AdS/CFT Integrability, Chapter V.1: Scattering Amplitudes: A Brief Introduction 2011 Radu Roiban
+ Integrable systems and AdS/CFT duality 2012 SĂ©bastien Leurent
+ TeorĂ­a de Cuerdas sobre AdS3 X N 2003 GastĂłn Giribet
+ PDF Chat Schwinger-Keldysh propagators from AdS/CFT correspondence 2003 Christopher P. Herzog
D. Son
+ PDF Chat Off-diagonal flavour susceptibilities from AdS/CFT 2012 Jorge Casalderrey-Solana
David Mateos

Works That Cite This (56)

Action Title Year Authors
+ PDF Chat Quantum Wronskian approach to six-point gluon scattering amplitudes at strong coupling 2014 Yasuyuki Hatsuda
Katsushi Ito
Yuji Satoh
Junji Suzuki
+ PDF Chat Baxter Q-operators and representations of Yangians 2011 Vladimir V. Bazhanov
Rouven Frassek
Tomasz Ɓukowski
Carlo Meneghelli
Matthias Staudacher
+ PDF Chat Baxter’s Q-operators and Operatorial BĂ€cklund Flow for Quantum (Super)-Spin Chains 2012 Vladimir Kazakov
SĂ©bastien Leurent
Zengo Tsuboi
+ PDF Chat Multiple zeta functions and double wrapping in planar<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>SYM 2013 SĂ©bastien Leurent
Dmytro Volin
+ PDF Chat Oscillator construction of Q-operators 2011 Rouven Frassek
Tomasz Ɓukowski
Carlo Meneghelli
Matthias Staudacher
+ PDF Chat Wronskian solutions of the T-, Q- and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:mi mathvariant="italic">gl</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>M</mml:mi><mml:mo stretchy="false">|</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> 2013 Zengo Tsuboi
+ PDF Chat Toward an Analytic Perturbative Solution for the Abjm Quantum Spectral Curve 2019 Roman N. Lee
A. I. Onishchenko
+ PDF Chat Contour deformation trick in hybrid NLIE 2012 Ryƍ Suzuki
+ PDF Chat ABJM quantum spectral curve at twist 1: algorithmic perturbative solution 2019 Roman N. Lee
A.I. Onishchenka
+ PDF Chat Classical tau-function for quantum spin chains 2013 A. Alexandrov
Vladimir Kazakov
SĂ©bastien Leurent
Zengo Tsuboi
A. Zabrodin