Abelian Yang-Baxter Deformations and TsT transformations

Abstract

We prove that abelian Yang-Baxter deformations of superstring coset sigma models are equivalent to sequences of commuting TsT transformations, meaning T dualities and coordinate shifts. Our results extend also to fermionic deformations and fermionic T duality, and naturally lead to a TsT subgroup of the superduality group OSp(d_b,d_b|2d_f). In cases like AdS_5 x S^5, fermionic deformations necessarily lead to complex models. As an illustration of inequivalent deformations, we give all six abelian deformations of AdS_3. We comment on the possible dual field theory interpretation of these (super-)TsT models.

v1, 22 pages

References in corpus (63)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Review of AdS/CFT Integrability: An Overview
• Target Space Duality in String Theory
• Type IIB superstring action in AdS_5 x S^5 background
• Deforming field theories with $U(1)\times U(1)$ global symmetry and their gravity duals
• Superspace Duality in Low-Energy Superstrings
• Duality in the Type--II Superstring Effective Action
• On integrability of the Yang-Baxter $\si$-model
• Large N Limit of Non-Commutative Gauge Theories
• Foundations of the AdS_5 x S^5 Superstring. Part I
• An integrable deformation of the AdS_5 x S^5 superstring action
• Dual Non-Abelian Duality and the Drinfeld Double
• Yang-Baxter $\sigma$-models and dS/AdS T-duality
• Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection
• On classical q-deformations of integrable sigma-models
• Integrable interpolations: From exact CFTs to non-Abelian T-duals
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• 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
• T-Duality, Space-time Spinors and R-R Fields in Curved Backgrounds
• Gauge-string duality for superconformal deformations of N=4 Super Yang-Mills theory
• Poisson-Lie T-duality
• On integrable deformations of superstring sigma models related to AdS_n x S^n supercosets
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• An Integrable Deformation of the AdS5 x S5 Superstring
• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Generalised integrable $\lambda$- and $\eta$-deformations and their relation
• $\eta$ and $\lambda$ deformations as $\mathcal{E}$-models
• Deformed integrable $\sigma$-models, classical $R$-matrices and classical exchange algebra on Drinfel'd doubles
• 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
• Integrability of classical strings dual for noncommutative gauge theories
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• The ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ mirror model as a string
• SO(d,d) Transformations of Ramond-Ramond Fields and Space-time Spinors
• Supergravity background of lambda-deformed model for AdS2 x S2 supercoset
• Integrability of the AdS_5 x S^5 superstring and its deformations
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• Comments on T-dualities of Ramond-Ramond Potentials
• Double Wick rotating Green-Schwarz strings
• Non-conformality of gamma_i-deformed N=4 SYM theory
• A new coordinate system for q-deformed AdS_5 x S^5 and classical string solutions
• An Integrability Primer for the Gauge-Gravity Correspondence: an Introduction
• Quantum deformations of the flat space superstring
• Deformed Neumann model from spinning strings on (AdS_5 x S^5)_η
• On jordanian deformations of AdS_5 and supergravity
• Generalized type IIB supergravity equations and non-Abelian classical r-matrices
• Integrable deformations of the AdS${}_5\times$S${}^5$ superstring and the classical Yang-Baxter equation -- Towards the gravity/CYBE correspondence --
• On classical Yang-Baxter based deformations of the AdS_5 x S^5 superstring
• T-Duality and Ramond-Ramond Backgrounds in the Matrix Model
• On the Rotating and Oscillating strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• A piece of cake: the ground-state energies in gamma_i-deformed N=4 SYM theory
• Type IIB supergravity solution for the T-dual of the eta-deformed AdS_5 x S^5 superstring
• Non-split and split deformations of AdS_5
• Canonical pure spinor (Fermionic) T-duality
• Supercoset construction of Yang-Baxter deformed AdS${}_5\times$S${}^5$ backgrounds
• Integrable $\lambda$-deformations: Squashing Coset CFTs and $Ad{S}_5\times S^5$
• Integrability of the eta-deformed Neumann-Rosochatius model
• On q-deformed symmetries as Poisson-Lie symmetries and application to Yang-Baxter type models
• On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• Theory of Superdualities and the Orthosymplectic Supergroup

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• Brief lectures on duality, integrability and deformations
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• Killing spinors from classical r-matrices
• Deformed WZW Models and Hodge Theory -- Part I
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• On some integrable deformations of the Wess-Zumino-Witten model
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• Quantum symmetries in 2+1 dimensions: Carroll, (a)dS-Carroll, Galilei and (a)dS-Galilei
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• More on (gauged) WZW models over low-dimensional Lie supergroups and their integrable deformations
• Supergravity solution-generating techniques and canonical transformations of $\sigma$-models from $O(D,D)$
• T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations
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