On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring

Abstract

We discuss the spectrum of a string propagating on eta-deformed AdS_5 x S^5 by treating its world-sheet theory as an integrable quantum field theory. The exact S-matrix of this field theory is given by a q-deformation of the AdS_5 x S^5 world-sheet S-matrix with real deformation parameter. By considering mirror (double Wick-rotated) versions of these world-sheet theories we give the Thermodynamic Bethe Ansatz description of their exact finite size spectra. Interestingly, this class of models maps onto itself under the mirror transformation. At the level of the string this appears to say that the light-cone worldsheet theories of strings on particular pairs of backgrounds are related by a double Wick rotation, a feature we call 'mirror duality'. We provide a partial check of these statements at the level of the sigma model by considering reduced actions and their corresponding (mirror) giant magnon solutions.

arXiv commentv2, reference added, arxiv author name corrected, 36 pages, 2 figures

References in corpus (39)

• Review of AdS/CFT Integrability: An Overview
• Transcendentality and Crossing
• Bethe Ansatz for Quantum Strings
• Giant Magnons
• On integrability of the Yang-Baxter $\si$-model
• Foundations of the AdS_5 x S^5 Superstring. Part I
• An integrable deformation of the AdS_5 x S^5 superstring action
• Integrability for the Full Spectrum of Planar AdS/CFT II
• Yang-Baxter $\sigma$-models and dS/AdS T-duality
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• On classical q-deformations of integrable sigma-models
• Quantum spectral curve for AdS_5/CFT_4
• Integrable interpolations: From exact CFTs to non-Abelian T-duals
• S-matrix for strings on $\eta$-deformed AdS5 x S5
• On String S-matrix, Bound States and TBA
• On Type IIA Penrose Limit and N=6 Chern-Simons Theories
• On deformations of AdS_n x S^n supercosets
• Spin Chains in N=6 Superconformal Chern-Simons-Matter Theory
• String hypothesis for the AdS_5 x S^5 mirror
• Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
• Quantum Deformations of the One-Dimensional Hubbard Model
• On the Singularities of the Magnon S-matrix
• Worldsheet Scattering in AdS_5 x S^5
• The Quantum Spectral Curve of the ABJM theory
• A Jordanian deformation of AdS space in type IIB supergravity
• q-Deformation of the AdS5 x S5 Superstring S-matrix and its Relativistic Limit
• Exact Slope and Interpolating Functions in ABJM Theory
• The Dressing Factor and Crossing Equations
• The classical origin of quantum affine algebra in squashed sigma models
• Integrability of the AdS_5 x S^5 superstring and its deformations
• 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
• On the classical equivalence of monodromy matrices in squashed sigma model
• The spectral problem for strings on twisted AdS_5 x S^5
• The Quantum Deformed Mirror TBA II
• Temperature quantization from the TBA equations
• Minimal solution of the AdS/CFT crossing equation
• Symplectic Deformations of Integrable Field Theories and AdS/CFT

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• An Integrable Deformation of the AdS5 x S5 Superstring
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• $\eta$ and $\lambda$ deformations as $\mathcal{E}$-models
• Deformed integrable $\sigma$-models, classical $R$-matrices and classical exchange algebra on Drinfel'd doubles
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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
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
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• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• Integrability of classical strings dual for noncommutative gauge theories
• Supergravity backgrounds for deformations of AdS_n x S^n supercoset string models
• Almost abelian twists and AdS/CFT
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• Poisson-Lie T-duals of the bi-Yang-Baxter models
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• Supergravity backgrounds of the eta-deformed AdS2 x S2 x T6 and AdS5 x S5 superstrings
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Introduction to the thermodynamic Bethe ansatz
• Quantum deformations of the flat space superstring
• Yang-Baxter Deformations Beyond Coset Spaces (a slick way to do TsT)
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• On jordanian deformations of AdS_5 and supergravity
• Puzzles of eta-deformed AdS_5 x S^5
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• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Quantum Spectral Curve for the eta-deformed AdS_5xS^5 superstring
• Non-split and split deformations of AdS_5
• Two-parameter integrable deformations of the $Ad{S}_3\times S^3\times T^4$ superstring
• Unimodular jordanian deformations of integrable superstrings
• Giant Magnon on Deformed AdS(3)xS(3)
• The Hagedorn temperature of AdS5/CFT4 via integrability
• Poisson-Lie duals of the eta deformed symmetric space sigma model
• Resurgence of the dressing phase for ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Spinning strings in the $\eta$-deformed Neumann-Rosochatius system
• Integrability of the eta-deformed Neumann-Rosochatius model
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
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• Minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with Poincare coordinates
• Towards the gravity/CYBE correspondence beyond integrability -- Yang-Baxter deformations of $T^{1,1}$
• Probing analytical and numerical integrability: The curious case of $(Ad{S}_5\times S^5{)}_{\eta }$
• On quantum deformations of $Ad{S}_3\times S^3\times T^4$ and mirror duality
• Multispin magnons on deformed $Ad{S}_3\times S^3$
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• Finite-size effect of η-deformed AdS_5 x S^5 at strong coupling
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Holographic Cusped Wilson loops in $q$-deformed $Ad{S}_5\times S^5$ Spacetime
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• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• Deformations of $T^{1,1}$ as Yang-Baxter sigma models
• Generalized quark-antiquark potentials from a $q$-deformed AdS${}_5\times$S${}^5$ background
• Lax pairs on Yang-Baxter deformed backgrounds
• Note About Integrability of Non-Relativistic String
• Spin chains and classical strings in two parameters $q$-deformed AdS${}_3\times$S${}^3$
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• Finite Size Effect from Classical Strings in deformed AdS${}_3\times$ S${}^3$
• On exactly solvable Yang-Baxter models and enhanced symmetries
• Semiclassical structure constants in the eta-deformed AdS_5 x S^5: Leading finite-size corrections
• P-Branes Dynamics, AdS/CFT and Correlation Functions
• Canonical Description of T-duality for Fundamental String and D1-Brane and Double Wick Rotation
• Yang-Baxter deformations and string dualities
• Uniform Gauge for D1-brane in General Background