Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal

Abstract

Moving from the mirror theory Bethe-Yang equations proposed by Arutyunov and Frolov, we derive the thermodynamic Bethe Ansatz equations which should control the spectrum of the planar ${\text{AdS}}_5/{\text{CFT}}_4$ correspondence. The associated set of universal functional relations (Y-system) satisfied by the exponentials of the TBA pseudoenergies is deduced, confirming the structure inferred by Gromov, Kazakov and Vieira.

Main typos corrected, notations fixed, references added

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Cited by in corpus (113)

• Quantum spectral curve for AdS_5/CFT_4
• Y-system for Scattering Amplitudes
• New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• T-systems and Y-systems in integrable systems
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Five-Loop Anomalous Dimension of Twist-Two Operators
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Integrable deformations of T-dual $\sigma$ models
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• Exciting the GKP string at any coupling
• T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
• Towards integrability for AdS3/CFT2
• Quantum spectral curve as a tool for a perturbative quantum field theory
• The ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ mirror model as a string
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Exact Three-Point Functions of Determinant Operators in Planar N=4 Supersymmetric Yang-Mills Theory
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• Structure constants at wrapping order
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Baxter's Q-operators and operatorial Backlund flow for quantum (super)-spin chains
• Magnon dispersion to four loops in the ABJM and ABJ models
• Wronskian Solution for AdS/CFT Y-system
• Konishi operator at intermediate coupling
• Multiple zeta functions and double wrapping in planar N=4 SYM
• The spectral problem for strings on twisted AdS_5 x S^5
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Conformal Twists, Yang-Baxter $\sigma$-models & Holographic Noncommutativity
• An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction
• Introduction to the thermodynamic Bethe ansatz
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Monodromy Bootstrap for SU(2|2) Quantum Spectral Curves: From Hubbard model to AdS3/CFT2
• Yangians, S-matrices and AdS/CFT
• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• Wronskian solutions of the T, Q and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra gl(M|N)
• Surprises in the AdS algebraic curve constructions - Wilson loops and correlation functions
• Three-point Correlation functions of Giant magnons with finite size
• Thermodynamic Bethe Ansatz for Fishnet CFT
• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• Finite-size effect for four-loop Konishi of the beta-deformed N=4 SYM
• Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• From Scattering Amplitudes to the Dilatation Generator in N=4 SYM
• Superintegrability of Geodesic Motion on the Sausage Model
• General phase spaces: from discrete variables to rotor and continuum limits
• The full spectrum of AdS5/CFT4 I: Representation theory and one-loop Q-system
• Correlation functions of magnon and spike
• Yangian Symmetry and Integrability of Planar N=4 Super-Yang-Mills Theory
• Luescher formula for GKP string
• Finite Size Spectrum of SU(N) Principal Chiral Field from Discrete Hirota Dynamics
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• The Hagedorn temperature of AdS5/CFT4 via integrability
• Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization
• Six-loop Konishi anomalous dimension from the Y-system
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Quantum Spectral Curve of $\gamma$-twisted $\mathcal{N}=4$ SYM theory and fishnet CFT
• A review of the AdS/CFT Quantum Spectral Curve
• Scaling dimensions from the mirror TBA
• Integrability of the eta-deformed Neumann-Rosochatius model
• First-principles derivation of the AdS/CFT Y-systems
• Condition on Ramond-Ramond fluxes for factorization of worldsheet scattering in anti-de Sitter space
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• Maximally Supersymmetric RG Flows in 4D and Integrability
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• Finite size effect on the magnon's correlation functions
• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
• Functional Equations and Separation of Variables for Exact g-Function
• Worldsheet S-matrix of beta-deformed SYM
• Wilson-loop One-point Functions in ABJM Theory
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
• Scattering of Giant Magnons in CP^3
• Fermions and scalars in $\mathcal{N}=4$ Wilson loops at strong coupling and beyond
• ABJM quantum spectral curve and Mellin transform
• On the logarithmic powers of $sl(2)$ SYM${}_4$
• $QQ$-system and non-linear integral equations for scattering amplitudes at strong coupling
• Orbifolded Konishi from the Mirror TBA
• Protected states in $\mbox{AdS}_3$ backgrounds from integrability
• The Tetrahedron Zamolodchikov Algebra and the AdS5 x S5 S-matrix
• Wrapping corrections for long range spin chains
• Yangians in Integrable Field Theories, Spin Chains and Gauge-String Dualities
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• Asymptotic Bethe equations for open boundaries in planar AdS/CFT
• MHV amplitudes at strong coupling and linearized TBA equations
• Giant Holes
• Integrability treatment of AdS/CFT orbifolds
• The Hirota equation for string theory in AdS5xS5 from the fusion of line operators
• Coset construction of AdS particle dynamics
• Semiclassical SL(2) Strings on LLM backgrounds
• Wrapping effects in supersymmetric gauge theories
• Semiclassical energy of the $Ad{S}_4\times {\mathbb{CP}}^3$ folded string
• On analytical perturbative solution of ABJM quantum spectral curve
• Bethe Ansatz for Quantum-Deformed Strings
• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Quantization of the ${\mathrm{AdS}}_3$ Superparticle on $\mathrm{OSP}(1|2{)}^2/\mathrm{SL}(2,\mathbb{R})$
• Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension
• Comments on Correlation Functions of Large Spin Operators and Null Polygonal Wilson Loops
• Bound State Scattering Simplified
• Spectral curve for gamma-deformed AdS/CFT
• Three-Point Functions in ABJM and Bethe Ansatz
• Operator mixing in N = 4 SYM: The Konishi anomaly re-re-visited
• A numerical test of the Y-system in the small size limit of the SU(2)x SU(2) Principal Chiral Model
• Splitting strings on integrable backgrounds
• Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability
• Orthogonality of Q-Functions up to Wrapping in Planar N=4 Super Yang-Mills Theory
• Canonical Description of T-duality for Fundamental String and D1-Brane and Double Wick Rotation
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM