Abelian Yang-Baxter Deformations and TsT transformations

TL;DR

This paper demonstrates that abelian Yang-Baxter deformations of superstring models are equivalent to sequences of TsT transformations, extending to fermionic cases and revealing a connection to superduality groups, with implications for dual field theories.

Contribution

It establishes the equivalence between abelian Yang-Baxter deformations and TsT transformations, including fermionic cases, and explores their group structure and dual field theory implications.

Findings

Abelian Yang-Baxter deformations correspond to sequences of TsT transformations.

Fermionic deformations extend the TsT equivalence to fermionic T duality.

Explicit classification of six abelian deformations of AdS_3.

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.