Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model

Abstract

We use the string hypothesis for the mirror theory to derive the Thermodynamic Bethe Ansatz equations for the AdS_5 x S^5 mirror model. We further demonstrate how these equations can be used to construct the associated Y-system recently discussed in the literature, putting particular emphasis on the assumptions and the range of validity of the corresponding construction.

31 pages, LaTex, v2: references added, v3: published version

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Cited by in corpus (248)

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• New integrable non-gauge 4D QFTs from strongly deformed planar N=4 SYM
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• Quantum spectral curve for arbitrary state/operator in AdS${}_5$/CFT${}_4$
• T-systems and Y-systems in integrable systems
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• A Shortcut to the Q-Operator
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• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
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• Strings on Semisymmetric Superspaces
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• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
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• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• Exciting the GKP string at any coupling
• Five-loop Konishi from the Mirror TBA
• T-system on T-hook: Grassmannian Solution and Twisted Quantum Spectral Curve
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• 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
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• The Dressing Factor and Crossing Equations
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
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• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
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• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
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• Konishi operator at intermediate coupling
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• Double Wick rotating Green-Schwarz strings
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
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• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
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• 5-loop Konishi from linearized TBA and the XXX magnet
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• Quantum integrability and functional equations
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• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Twisting the Mirror TBA
• The full Quantum Spectral Curve for $Ad{S}_4/CF{T}_3$
• Deeper Look into Short Strings
• Introduction to the thermodynamic Bethe ansatz
• Towards the exact Bremsstrahlung function of ABJM theory
• The Quantum Deformed Mirror TBA II
• Temperature quantization from the TBA equations
• 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
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
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• Asymptotic Bethe Ansatz on the GKP vacuum as a defect spin chain: scattering, particles and minimal area Wilson loops
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
• Resurgence of the Cusp Anomalous Dimension
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• On holographic three point functions for GKP strings from integrability
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• Bremsstrahlung function, leading Luscher correction at weak coupling and localization
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• Three-point Correlation functions of Giant magnons with finite size
• Review of AdS/CFT Integrability, Chapter III.7: Hirota Dynamics for Quantum Integrability
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• Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz
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• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• Symmetries of the N=4 SYM S-matrix
• The Bajnok-Janik formula and wrapping corrections
• Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• Finite-size effect for four-loop Konishi of the beta-deformed N=4 SYM
• Holographic three-point functions for short operators
• Discrete Hirota dynamics for AdS/CFT
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• Yangian Symmetry and Integrability of Planar N=4 Super-Yang-Mills Theory
• Luescher formula for GKP string
• Hybrid-NLIE for the AdS/CFT spectral problem
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• Computing Three-Point Functions for Short Operators
• Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization
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• The Hagedorn temperature of AdS5/CFT4 via integrability
• Six-loop Konishi anomalous dimension from the Y-system
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• Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Six and seven loop Konishi from Luscher corrections
• Exploring the spectrum of planar $Ad{S}_4/CF{T}_3$ at finite coupling
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• Resurgence of the dressing phase for ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Asymptotic Four Point Functions
• Classical Integrability for Three-point Functions: Cognate Structure at Weak and Strong Couplings
• Quantum folded string in S^5 and the Konishi multiplet at strong coupling
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
• QCD properties of twist operators in the N=6 Chern-Simons theory
• Twist-two operators and the BFKL regime - nonstandard solutions of the Baxter equation
• Scaling dimensions from the mirror TBA
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• Numerical results for the exact spectrum of planar AdS4/CFT3
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• On the spectral problem of N=4 SYM with orthogonal or symplectic gauge group
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• Maximally Supersymmetric RG Flows in 4D and Integrability
• Finite size effect on the magnon's correlation functions
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• Non-planar universal anomalous dimension of twist-two operators with general Lorentz spin at four loops in N=4 SYM theory
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• Six-loop anomalous dimension of twist-two operators in planar N=4 SYM theory
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• A new representation for two- and three-point correlators of operators from sl(2) sector
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• Lifting asymptotic degeneracies with the Mirror TBA
• Algebraic Curve for a Cusped Wilson Line
• Bound States in the Mirror TBA
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• One-Loop Spectroscopy of Scalar Three-Point Functions in planar N=4 super Yang-Mills Theory
• Y-system for Z_S Orbifolds of N=4 SYM
• Konishi at strong coupling from ABE
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Worldsheet S-matrix of beta-deformed SYM
• Wilson-loop One-point Functions in ABJM Theory
• Discontinuity relations for the AdS(4)/CFT(3) correspondence
• Reformulating the TBA equations for the quark anti-quark potential and their two loop expansion
• Twist-2 at five loops: Wrapping corrections without wrapping computations
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Scattering of Giant Magnons in CP^3
• Fermions and scalars in $\mathcal{N}=4$ Wilson loops at strong coupling and beyond
• On the logarithmic powers of $sl(2)$ SYM${}_4$
• Double-logs, Gribov-Lipatov reciprocity and wrapping
• ABJM quantum spectral curve and Mellin transform
• Quasi-local formulation of the mirror TBA
• 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
• $QQ$-system and non-linear integral equations for scattering amplitudes at strong coupling
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• Wrapping corrections for long range spin chains
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• TBA-like equations and Casimir effect in (non-)perturbative AdS/CFT
• The contribution of scalars to $\mathcal{N}=4$ SYM amplitudes II: Young tableaux, asymptotic factorisation and strong coupling
• Spectral curve for open strings attached to the Y=0 brane
• Strong Wilson polygons from the lodge of free and bound mesons
• Y-system for $\gamma$-deformed ABJM Theory
• Asymptotic Bethe equations for open boundaries in planar AdS/CFT
• Revisiting the Y=0 open spin chain at one loop
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• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
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• N=4 SYM Quantum Spectral Curve in BFKL regime
• Giant Holes
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• Unified approach to the SU(2) Principal Chiral Field model at Finite Volume
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• Coset construction of AdS particle dynamics
• Quantum integrability of $\mathcal{N}=2$ 4d gauge theories
• Thermodynamics of Inozemtsev's Elliptic Spin Chain
• Superspace methods for the computation of wrapping effects in the standard and beta-deformed N=4 SYM
• Wrapping corrections, reciprocity and BFKL beyond the sl(2) subsector in N=4 SYM
• ABJM quantum spectral curve at twist 1: algorithmic perturbative solution
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• On analytical perturbative solution of ABJM quantum spectral curve
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• Exact result in N=4 SYM theory: Generalised double-logarithmic equation
• Wrapping effects in supersymmetric gauge theories
• Semiclassical energy of the $Ad{S}_4\times {\mathbb{CP}}^3$ folded string
• The full spectrum of AdS${}_5$/CFT${}_4$ II: Weak coupling expansion via the quantum spectral curve
• Wrapping corrections for non-diagonal boundaries in AdS/CFT
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• Integrable boundaries in AdS/CFT: revisiting the Z=0 giant graviton and D7-brane
• Polylogarithms from the bound state S-matrix
• On a discrete symmetry of the Bremsstrahlung function in N=4 SYM
• Comments on Correlation Functions of Large Spin Operators and Null Polygonal Wilson Loops
• Exact results for the low energy AdS(4)XCP(3) string theory
• Growth of Rényi Entropies in Interacting Integrable Models and the Breakdown of the Quasiparticle Picture
• On the one-loop curvature function in the $sl(2)$ sector of $\mathcal{N}=4$ SYM
• Bound State Scattering Simplified
• Lee-Yang Model in Presence of Defects
• Three-Point Functions in ABJM and Bethe Ansatz
• Operator mixing in N = 4 SYM: The Konishi anomaly re-re-visited
• Exact Results in Supersymmetric Gauge Theories
• Spectral curve for gamma-deformed AdS/CFT
• Splitting strings on integrable backgrounds
• Beyond cusp anomalous dimension from integrability in SYM${}_4$
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators
• Anomalous dimensions of twist 2 operators and $\mathcal{N}=4$ SYM quantum spectral curve
• A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations
• Orthogonality of Q-Functions up to Wrapping in Planar N=4 Super Yang-Mills Theory
• Tenfold Way for Holography : AdS/CFT and Beyond
• Canonical Description of T-duality for Fundamental String and D1-Brane and Double Wick Rotation
• Uniform Gauge for D1-brane in General Background
• A Young diagram expansion of the hexagonal Wilson loop (amplitude) in $\mathcal{N}=4$ SYM