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.

v2, reference added, arxiv author name corrected, 36 pages, 2 figures

References in corpus (15)

• Giant Magnons
• Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model
• On String S-matrix, Bound States and TBA
• 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
• The Quantum Spectral Curve of the ABJM theory
• A Jordanian deformation of AdS space in type IIB supergravity
• The Quantum Deformed Mirror TBA I
• Simplified TBA equations of the AdS_5 x S^5 mirror model
• Minimal solution of the AdS/CFT crossing equation
• Symplectic Deformations of Integrable Field Theories and AdS/CFT

Cited by in corpus (35)

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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
• Spacetimes for λ-deformations
• 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
• Double Wick rotating Green-Schwarz strings
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• Introduction to the thermodynamic Bethe ansatz
• Finite-size giant magnons on η-deformed AdS_5 x S^5
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Unimodular jordanian deformations of integrable superstrings
• Giant Magnon on Deformed AdS(3)xS(3)
• Resurgence of the dressing phase for ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Poisson-Lie duals of the eta deformed symmetric space sigma model
• Spinning strings in the $\eta$-deformed Neumann-Rosochatius system
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• Integrability of the eta-deformed Neumann-Rosochatius model
• Spiky strings in $\varkappa$-deformed $AdS$
• On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Semiclassical spectrum of a Jordanian deformation of $Ad{S}_5\times S^5$
• Resurgence in the Bi-Yang-Baxter Model
• Minimal surfaces in $q$-deformed AdS${}_5\times$S${}^5$ with Poincare coordinates
• On quantum deformations of $Ad{S}_3\times S^3\times T^4$ and mirror duality
• Finite-size effect of η-deformed AdS_5 x S^5 at strong coupling
• Stringy correlations on deformed $Ad{S}_3\times S^3$
• Deformations of $T^{1,1}$ as Yang-Baxter sigma models
• Spin chains and classical strings in two parameters $q$-deformed AdS${}_3\times$S${}^3$
• Yang-Baxter deformations of the flat space string
• On exactly solvable Yang-Baxter models and enhanced symmetries
• Yang-Baxter deformations and string dualities
• Uniform Gauge for D1-brane in General Background