The Quantum Deformed Mirror TBA II

Abstract

We discuss the description of generic excited states in the quantum deformed AdS_5 x S^5 mirror thermodynamic Bethe ansatz and derive the associated Y-system. This Y-system shows an interesting new feature; it depends explicitly on the excited state under consideration. Similarly, it also depends on twisted boundary conditions. We construct the asymptotic solution of these TBA and Y-system equations by deriving the twisted transfer matrix for the quantum deformed Hubbard model and finding the deformed mirror bound state dressing phase. This asymptotic construction is insensitive to the precise nature of the deformation, and thereby provides a nontrivial check of the interesting new features which arise precisely at roots of unity.

v2, 51 pages, 5 figures, as published

References in corpus (19)

• 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
• String hypothesis for the AdS_5 x S^5 mirror
• 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
• Analytic Solution of Bremsstrahlung TBA
• The Quantum Deformed Mirror TBA I
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Twisting the Mirror TBA
• The Bajnok-Janik formula and wrapping corrections
• Bound States of the q-Deformed AdS5 x S5 Superstring S-matrix
• Bound State Transfer Matrix for AdS5 x S5 Superstring
• Six-loop Konishi anomalous dimension from the Y-system
• Six and seven loop Konishi from Luscher corrections
• Exceptional Operators in N=4 super Yang-Mills
• Y-system for Y=0 brane in planar AdS/CFT
• On the $Ad{S}_5/CF{T}_4$ TBA and its analytic properties

Cited by in corpus (39)

• An integrable deformation of the AdS_5 x S^5 superstring action
• S-matrix for strings on $\eta$-deformed AdS5 x S5
• Jordanian deformations of the AdS_5xS^5 superstring
• On deformations of AdS_n x S^n supercosets
• 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
• The Quantum Spectral Curve of the ABJM theory
• 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
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• Quantum Spectral Curve for a Cusped Wilson Line in N=4 SYM
• Multiple zeta functions and double wrapping in planar N=4 SYM
• Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM
• Introduction to the thermodynamic Bethe ansatz
• A deformation of quantum affine algebra in squashed WZNW models
• Deformed Neumann model from spinning strings on (AdS_5 x S^5)_η
• 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
• General phase spaces: from discrete variables to rotor and continuum limits
• Superintegrability of Geodesic Motion on the Sausage Model
• 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
• 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
• Probing $\eta$ deformed backgrounds with $Dp$ branes
• Bethe Ansatz for Quantum-Deformed Strings
• Spectral curve for gamma-deformed AdS/CFT