String hypothesis for the AdS_5 x S^5 mirror

Abstract

We discuss the states which contribute in the thermodynamic limit of the mirror theory, the latter is obtained from the light-cone gauge-fixed string theory in the AdS_5 x S^5 background by the double-Wick rotation. We analyze the Bethe-Yang equations for the mirror theory and formulate the string hypothesis. We show that in the thermodynamic limit solutions of the Bethe-Yang equations arrange themselves into Bethe string configurations similar to the ones appearing in the Hubbard model. We also derive a set of equations describing the bound states and the Bethe string configurations of the mirror theory.

LaTex, 18 pages, typos are corrected

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Cited by in corpus (124)

• Foundations of the AdS_5 x S^5 Superstring. Part I
• Integrability for the Full Spectrum of Planar AdS/CFT II
• Integrability for the Full Spectrum of Planar AdS/CFT
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• Exact AdS/CFT spectrum: Konishi dimension at any coupling
• A Shortcut to the Q-Operator
• On three-point correlation functions in the gauge/gravity duality
• 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
• Five loop Konishi from AdS/CFT
• 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
• On correlation functions of operators dual to classical spinning string states
• 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
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• The ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ mirror model as a string
• The Dressing Factor and Crossing Equations
• Correlation functions of three heavy operators - the AdS contribution
• TBA and Y-system for planar $Ad{S}_4/CF{T}_3$
• Anomalous dimensions at four loops in N=6 superconformal Chern-Simons theories
• Integrable spin chain for stringy Wess-Zumino-Witten models
• Exploring the mirror TBA
• Y-system and Quasi-Classical Strings
• Twist-three at five loops, Bethe Ansatz and wrapping
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Protected string spectrum in AdS3/CFT2 from worldsheet integrability
• Magnon dispersion to four loops in the ABJM and ABJ models
• Y-system, TBA and Quasi-Classical Strings in AdS4 x CP3
• The Quantum Deformed Mirror TBA I
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• HHL correlators, orbit averaging and form factors
• Wronskian Solution for AdS/CFT Y-system
• Konishi operator at intermediate coupling
• The Bound State S-Matrix for AdS5 x S5 Superstring
• Double Wick rotating Green-Schwarz strings
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• PSU(2,2|4) Character of Quasiclassical AdS/CFT
• 5-loop Konishi from linearized TBA and the XXX magnet
• String field theory vertex from integrability
• The spectral problem for strings on twisted AdS_5 x S^5
• Quantum integrability and functional equations
• Twisting the Mirror TBA
• Introduction to the thermodynamic Bethe ansatz
• Deeper Look into Short Strings
• The Quantum Deformed Mirror TBA II
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Temperature quantization from the TBA equations
• Y-system and beta-deformed N=4 Super-Yang-Mills
• Excited Hexagon Wilson Loops for Strongly Coupled N=4 SYM
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• Integrable S matrix, mirror TBA and spectrum for the stringy ${\text{AdS}}_3\times {\text{S}}^3\times {\text{S}}^3\times {\text{S}}^1$ WZW model
• Yangians, S-matrices and AdS/CFT
• Six-Loop Anomalous Dimension of Twist-Three Operators in N=4 SYM
• On classical Yang-Baxter based deformations of the AdS_5 x S^5 superstring
• On holographic three point functions for GKP strings from integrability
• Bremsstrahlung function, leading Luscher correction at weak coupling and localization
• Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz
• Symmetries of the N=4 SYM S-matrix
• Five-loop anomalous dimension at critical wrapping order in N=4 SYM
• Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2
• Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring
• The Bajnok-Janik formula and wrapping corrections
• Holographic three-point functions for short operators
• Discrete Hirota dynamics for AdS/CFT
• Hybrid-NLIE for the AdS/CFT spectral problem
• Luescher formula for GKP string
• Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix
• From the octagon to the SFT vertex - gluing and multiple wrapping
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• The Hagedorn temperature of AdS5/CFT4 via integrability
• Twist operators in N=4 beta-deformed theory
• Superspace calculation of the three-loop dilatation operator of N=4 SYM theory
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Comments on the Mirror TBA
• Finite size corrections for open strings/open chains in planar AdS/CFT
• Resurgence of the dressing phase for ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Fusion of line operators in conformal sigma-models on supergroups, and the Hirota equation
• Exceptional Operators in N=4 super Yang-Mills
• Scaling dimensions from the mirror TBA
• The Bound State S-matrix of the Deformed Hubbard Chain
• A next-to-leading Luescher formula
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• Numerical results for the exact spectrum of planar AdS4/CFT3
• Universal blocks of the AdS/CFT Scattering Matrix
• Boundary finite size corrections for multiparticle states and planar AdS/CFT
• Scaling dimensions at small spin in N=4 SYM theory
• The non-planar contribution to the four-loop anomalous dimension of twist-2 operators: first moments in N=4 SYM and non-singlet QCD
• 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
• Semiclassical folded string in AdS4 X CP3
• On the Spectrum of the AdS_5xS^5 String at large lambda
• Integrable strings for AdS/CFT
• Lifting asymptotic degeneracies with the Mirror TBA
• Y-system for Z_S Orbifolds of N=4 SYM
• Non-planar anomalous dimension of twist-2 operators: higher moments at four loops
• Bound States in the Mirror TBA
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• Konishi at strong coupling from ABE
• Reformulating the TBA equations for the quark anti-quark potential and their two loop expansion
• Quasi-local formulation of the mirror TBA
• Static Gauge and Energy Spectrum of Single-mode Strings in AdS_5xS^5
• Orbifolded Konishi from the Mirror TBA
• 6-loop anomalous dimension of a single impurity operator from AdS/CFT and multiple zeta values
• Review of AdS/CFT Integrability, Chapter I.2: The spectrum from perturbative gauge theory
• Asymptotic Bethe equations for open boundaries in planar AdS/CFT
• Integrability treatment of AdS/CFT orbifolds
• 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
• Contour deformation trick in hybrid NLIE
• Wrapping effects in supersymmetric gauge theories
• Semiclassical energy of the $Ad{S}_4\times {\mathbb{CP}}^3$ folded string
• Extensive numerical study of a D-brane, anti-D-brane system in AdS5/CFT4
• Nonplanar Four-Loop Anomalous Dimensions of Twist-Two Operators in N=4 Super Yang-Mills Theory: Higher Moment, General Result, and Cusp Anomalous Dimension
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling
• Lee-Yang Model in Presence of Defects
• Splitting strings on integrable backgrounds
• Large spin expansion of the wrapping correction to Freyhult-Rej-Zieme twist operators
• Canonical Description of T-duality for Fundamental String and D1-Brane and Double Wick Rotation
• Uniform Gauge for D1-brane in General Background