Discrete Hirota dynamics for AdS/CFT
arXiv:0906.2546 · doi:10.1016/j.nuclphysb.2009.09.012
Abstract
Recently a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N=4 supersymmetric Yang-Mills theory has been conjectured. These functional equations take the form of a Y-system defined on a special shaped domain. This Y-system can be equivalently reformulated as a T-system defined on a "T-shaped fat hook". The elements of the T-system satisfy discrete Hirota equations. In the present paper the discrete Hirota equations for AdS/CFT are solved by means of a chain of Backlund transformations and as a result TT-, TQ-, and QQ-relations are obtained for AdS/CFT.
published version, typos corrected
References in corpus (35)
- Gauge Theory Correlators from Non-Critical String Theory
- The Bethe-Ansatz for N=4 Super Yang-Mills
- Hidden Symmetries of the AdS_5 x S^5 Superstring
- The N=4 SYM Integrable Super Spin Chain
- The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
- Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
- Bethe Ansatz for Quantum Strings
- Classical/quantum integrability in AdS/CFT
- A Novel Long Range Spin Chain and Planar N=4 Super Yang-Mills
- The Factorized S-Matrix of CFT/AdS
- Integrability for the Full Spectrum of Planar AdS/CFT II
- Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
- Wrapping interactions and a new source of corrections to the spin-chain/string duality
- The Algebraic Curve of Classical Superstrings on AdS_5xS^5
- Functional Relations in Solvable Lattice Models I: Functional Relations and Representation Theory
- Quantum Integrable Systems and Elliptic Solutions of Classical Discrete Nonlinear Equations
- Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
- A Relation Between Approaches to Integrability in Superconformal Yang-Mills Theory
- On String S-matrix, Bound States and TBA
- String hypothesis for the AdS_5 x S^5 mirror
- Four loop twist two, BFKL, wrapping and strings
- Supersymmetric Bethe Ansatz and Baxter Equations from Discrete Hirota Dynamics
- Wrapping interactions at strong coupling -- the giant magnon
- Complete Spectrum of Long Operators in N=4 SYM at One Loop
- Analytic Bethe ansatz and functional equations associated with any simple root systems of the Lie superalgebra sl(r+1|s+1)
- Finite Volume Spectrum of 2D Field Theories from Hirota Dynamics
- Twist-three at five loops, Bethe Ansatz and wrapping
- Finite-Size Effects for Dyonic Giant Magnons
- Quantum integrability in (super) Yang-Mills theory on the light-cone
- Quantum Wrapped Giant Magnon
- Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r+1|s+1)
- Temperature quantization from the TBA equations
- A new derivation of Luscher F-term and fluctuations around the giant magnon
- Discrete Hirota's equation in quantum integrable models
- A note on the Bethe ansatz solution of the supersymmetric t-J model
Cited by in corpus (27)
- T-systems and Y-systems in integrable systems
- T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
- Five-loop Konishi from the Mirror TBA
- Solving the AdS/CFT Y-system
- Exploring the mirror TBA
- Y-system and Quasi-Classical Strings
- Baxter's Q-operators and operatorial Backlund flow for quantum (super)-spin chains
- Wronskian Solution for AdS/CFT Y-system
- TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
- Konishi operator at intermediate coupling
- Simplified TBA equations of the AdS_5 x S^5 mirror model
- PSU(2,2|4) Character of Quasiclassical AdS/CFT
- Quantum integrability and functional equations
- Twisting the Mirror TBA
- Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
- Wronskian solutions of the T, Q and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra gl(M|N)
- Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
- Five-loop anomalous dimension at critical wrapping order in N=4 SYM
- Bound State Transfer Matrix for AdS5 x S5 Superstring
- On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
- Hybrid NLIE for the Mirror AdS_5 x S^5
- Scaling dimensions from the mirror TBA
- A next-to-leading Luescher formula
- Supersymmetric quantum spin chains and classical integrable systems
- Scattering of Giant Magnons in CP^3
- Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
- Wrapping effects in supersymmetric gauge theories