On quantum deformations of $Ad{S}_3\times S^3\times T^4$ and mirror duality

Abstract

We consider various integrable two-parameter deformations of the $Ad{S}_3\times S^3\times T^4$ superstring with quantum group symmetry. Working on the string worldsheet in light-cone gauge and to quadratic order in fermions, we obtain their common massive tree-level two-body S matrix, which matches the expansion of the conjectured exact $q$-deformed S matrix. We then analyze the behavior of the exact S matrix under mirror transformation -- a double Wick rotation on the worldsheet -- and find that it satisfies a mirror duality relation analogous to the distinguished $q$-deformed $Ad{S}_5\times S^5$ S matrix in the one parameter deformation limit. Finally, we show that the fermionic $q$-deformed $Ad{S}_5\times S^5$ S matrix also satisfies such a relation.

arXiv comment30+6 pages

References in corpus (41)

• FeynRules 2.0 - A complete toolbox for tree-level phenomenology
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Review of AdS/CFT Integrability: An Overview
• 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
• Yang-Baxter $\sigma$-models and dS/AdS T-duality
• Derivation of the action and symmetries of the q-deformed AdS_5 x S^5 superstring
• Scale invariance of the eta-deformed AdS5 x S5 superstring, T-duality and modified type II equations
• Jordanian deformations of the AdS_5xS^5 superstring
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• Integrability of the bi-Yang-Baxter sigma-model
• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Quantum Deformations of the One-Dimensional Hubbard Model
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence
• The all-loop integrable spin-chain for strings on AdS_3 x S^3 x T^4: the massive sector
• On string theory on AdS_3 x S^3 x T^4 with mixed 3-form flux: tree-level S-matrix
• A dynamic su(1|1)^2 S-matrix for AdS3/CFT2
• 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
• All-loop Bethe ansatz equations for AdS3/CFT2
• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• 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
• Double Wick rotating Green-Schwarz strings
• Supergravity backgrounds of the eta-deformed AdS2 x S2 x T6 and AdS5 x S5 superstrings
• Schrodinger Sigma Models and Jordanian Twists
• An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Quantum deformations of the flat space superstring
• Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly
• Weyl invariance of string theories in generalized supergravity backgrounds
• Non-split and split deformations of AdS_5
• Two-parameter integrable deformations of the $Ad{S}_3\times S^3\times T^4$ superstring
• Three-parameter integrable deformation of Z_4 permutation supercosets
• On Yang-Baxter models, twist operators, and boundary conditions
• Generalized Supergravity Equations and Generalized Fradkin-Tseytlin Counterterm
• Relaxing unimodularity for Yang-Baxter deformed strings
• The twisted story of worldsheet scattering in $\eta$-deformed $Ad{S}_5\times S^5$
• S matrix for a three-parameter integrable deformation of $Ad{S}_3\times S^3$ strings
• Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit

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