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Homogeneous Yang-Baxter deformations as generalized diffeomorphisms · Around

2017

Homogeneous Yang-Baxter deformations as generalized diffeomorphisms

Sakamoto, Jun-ichi, Sakatani, Yuho, Yoshida, Kentaroh

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Yang-Baxter (YB) deformations of string sigma model provide deformed target spaces.

We propose that homogeneous YB deformations always lead to a certain class of $\beta$-twisted backgrounds and represent the bosonic part of the supergravity fields in terms of the classical r-matrix associated with the YB deformation.
We then show that various $\beta$-twisted backgrounds can be realized by considering generalized diffeomorphisms in the undeformed background.
Our result extends the notable relation between the YB deformations and (non-commuting) TsT transformations.

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