$Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations

Abstract

Using the recently proposed set of discontinuity relations we translate the AdS/CFT Y-system to TBA integral equations and quantization conditions for a large subset of excited states from the sl(2) sector of the $Ad{S}_5\times S^5$ string sigma-model. Our derivation provides an analytic proof of the fact that the exact Bethe equations reduce to the Beisert-Staudacher equations in the asymptotic limit. We also construct the corresponding T-system and show that in the language of T-functions the energy formula reduces to a single term which depends on a single T-function.

67 pages, 4 figures; appendices added (published version)

References in corpus (21)

• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• On String S-matrix, Bound States and TBA
• Dressing and Wrapping
• String hypothesis for the AdS_5 x S^5 mirror
• Wrapping at four loops in N=4 SYM
• On the Singularities of the Magnon S-matrix
• Wrapping interactions at strong coupling -- the giant magnon
• Quantum folded string and integrability: from finite size effects to Konishi dimension
• The Konishi multiplet at strong coupling
• Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet
• Wronskian Solution for AdS/CFT Y-system
• Konishi operator at intermediate coupling
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• The Bajnok-Janik formula and wrapping corrections
• Finite Size Spectrum of SU(N) Principal Chiral Field from Discrete Hirota Dynamics
• Exact finite size spectrum in super sine-Gordon model
• Comments on the Mirror TBA
• Hybrid NLIE for the Mirror AdS_5 x S^5
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties

Cited by in corpus (35)

• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• From Interacting Particles to Equilibrium Statistical Ensembles
• Towards integrability for AdS3/CFT2
• Solving the AdS/CFT Y-system
• Integrability of the AdS_5 x S^5 superstring and its deformations
• The Quantum Deformed Mirror TBA I
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• Multiple zeta functions and double wrapping in planar N=4 SYM
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Introduction to the thermodynamic Bethe ansatz
• The Quantum Deformed Mirror TBA II
• Yangians, S-matrices and AdS/CFT
• Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring
• Hybrid-NLIE for the AdS/CFT spectral problem
• The spectrum of tachyons in AdS/CFT
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
• Exceptional Operators in N=4 super Yang-Mills
• Y-system for Y=0 brane in planar AdS/CFT
• A next-to-leading Luescher formula
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• Lifting asymptotic degeneracies with the Mirror TBA
• Bound States in the Mirror TBA
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
• Quasi-local formulation of the mirror TBA
• ABJM quantum spectral curve and Mellin transform
• Integrability treatment of AdS/CFT orbifolds
• Contour deformation trick in hybrid NLIE
• On analytical perturbative solution of ABJM quantum spectral curve
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• 12 loops and triple wrapping in ABJM theory from integrability
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve
• A diagrammatic approach towards the thermodynamics of integrable systems