The Quantum Deformed Mirror TBA I

Abstract

We derive the ground state thermodynamic Bethe ansatz equations for the quantum deformation of the AdS_5 x S^5 mirror model, taking the deformation parameter to be a root of unity. By virtue of the deformation, the resulting equations show an interesting structure between a finite number of Y-functions.

v2, 57 pages, 9 figures, as published

References in corpus (71)

• Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
• Review of AdS/CFT Integrability: An Overview
• Pseudo-Hermiticity versus PT-Symmetry II: A complete characterizatio n of non-Hermitian Hamiltonians with a real spectrum
• Transcendentality and Crossing
• Bethe Ansatz for Quantum Strings
• How Algebraic Bethe Ansatz works for integrable model
• The su(2|2) Dynamic S-Matrix
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• 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
• Quantum Integrable Systems and Elliptic Solutions of Classical Discrete Nonlinear Equations
• Four-loop perturbative Konishi from strings and finite size effects for multiparticle states
• Excited states by analytic continuation of TBA equations
• Integrable Quantum Field Theories in Finite Volume: Excited State Energies
• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• On String S-matrix, Bound States and TBA
• Excited State Destri - De Vega Equation for Sine-Gordon and Restricted Sine-Gordon Models
• String hypothesis for the AdS_5 x S^5 mirror
• T-systems and Y-systems in integrable systems
• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Wrapping at four loops in N=4 SYM
• Quantum Deformations of the One-Dimensional Hubbard Model
• On the Singularities of the Magnon S-matrix
• Five-Loop Anomalous Dimension of Twist-Two Operators
• Five loop Konishi from AdS/CFT
• Extended Y-system for the $Ad{S}_5/CF{T}_4$ correspondence
• Five-loop Konishi from the Mirror TBA
• Analytic Solution of Bremsstrahlung TBA
• The Four-Loop Konishi in N=4 SYM
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• Solving the AdS/CFT Y-system
• The Dressing Factor and Crossing Equations
• Analytic Bethe ansatz and functional equations associated with any simple root systems of the Lie superalgebra sl(r+1|s+1)
• Towards the quantum S-matrix of the Pohlmeyer reduced version of AdS_5 x S^5 superstring theory
• Exploring the mirror TBA
• TBA, NLO Luscher correction, and double wrapping in twisted AdS/CFT
• The Quantum Deformed Mirror TBA I
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Five-loop Konishi in N=4 SYM
• 5-loop Konishi from linearized TBA and the XXX magnet
• The spectral problem for strings on twisted AdS_5 x S^5
• From Defects to Boundaries
• Twisting the Mirror TBA
• The Quantum Deformed Mirror TBA II
• Temperature quantization from the TBA equations
• Y-system and beta-deformed N=4 Super-Yang-Mills
• $Ad{S}_5\times S^5$ mirror TBA equations from Y-system and discontinuity relations
• A Quantum Affine Algebra for the Deformed Hubbard Chain
• Review of AdS/CFT Integrability, Chapter III.6: Thermodynamic Bethe Ansatz
• The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain
• The Bajnok-Janik formula and wrapping corrections
• A Relativistic Relative of the Magnon S-Matrix
• Hybrid-NLIE for the AdS/CFT spectral problem
• Interpolation between Hubbard and supersymmetric t-J models. Two-parameter integrable models of correlated electrons
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• Review of AdS/CFT Integrability, Chapter III.5: Luscher corrections
• Six-loop Konishi anomalous dimension from the Y-system
• Six and seven loop Konishi from Luscher corrections
• Comments on the Mirror TBA
• Thermodynamics of the Complex su(3) Toda Theory
• Hybrid NLIE for the Mirror AdS_5 x S^5
• Exceptional Operators in N=4 super Yang-Mills
• The Bound State S-matrix of the Deformed Hubbard Chain
• Lifting asymptotic degeneracies with the Mirror TBA
• Bound States in the Mirror TBA
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties
• Y-system for Z_S Orbifolds of N=4 SYM
• Quasi-local formulation of the mirror TBA
• Contour deformation trick in hybrid NLIE

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• Jordanian deformations of the AdS_5xS^5 superstring
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• An Integrable Deformation of the AdS5 x S5 Superstring
• Integrable Deformations of Strings on Symmetric Spaces
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• String-charge duality in integrable lattice models
• A Jordanian deformation of AdS space in type IIB supergravity
• Beta Function of k Deformed AdS_5 x S^5 String Theory
• Integrability of the AdS_5 x S^5 superstring and its deformations
• The Quantum Deformed Mirror TBA I
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Introduction to the thermodynamic Bethe ansatz
• The Quantum Deformed Mirror TBA II
• A deformation of quantum affine algebra in squashed WZNW models
• Deformed Neumann model from spinning strings on (AdS_5 x S^5)_η
• On classical Yang-Baxter based deformations of the AdS_5 x S^5 superstring
• Restoring Unitarity in the q-Deformed World-Sheet S-Matrix
• The Effectiveness of Relativistic Invariance in AdS${}_3$
• Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring
• Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings
• String theories on warped AdS backgrounds and integrable deformations of spin chains
• Resurgence of the dressing phase for ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Pulsating strings on $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Integrability of the eta-deformed Neumann-Rosochatius model
• Quantum Inverse Scattering and the Lambda Deformed Principal Chiral Model
• Integrable strings for AdS/CFT
• Popcorn Drude weights from quantum symmetry
• Giant Magnons of String Theory in the Lambda Background
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Symplectic Deformations of Integrable Field Theories and AdS/CFT
• Boost generator in AdS_3 integrable superstrings for general braiding
• Probing $\eta$ deformed backgrounds with $Dp$ branes
• Spectral curve for gamma-deformed AdS/CFT
• Norms and scalar products for AdS_3
• Boosts superalgebras based on centrally-extended su(1|1)^2