Abelian Yang-Baxter Deformations and TsT transformations

Understand

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.