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

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• Homogeneous Yang-Baxter deformations as generalized diffeomorphisms
• $T$-folds from Yang-Baxter deformations
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• $I$ in generalized supergravity
• Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable sigma-model
• Unimodular jordanian deformations of integrable superstrings
• Marginal and non-commutative deformations via non-abelian T-duality
• Semiclassical spectrum for BMN string in $Sc{h}_5\times S^5$