# Homogeneous Yang-Baxter deformations as generalized diffeomorphisms

## TL;DR

This paper demonstrates that homogeneous Yang-Baxter deformations of string sigma models can be understood as generalized diffeomorphisms, linking them to $eta$-twisted backgrounds and extending their relation to TsT transformations.

## Contribution

It establishes a direct connection between homogeneous YB deformations and generalized diffeomorphisms, providing a unified framework for understanding deformed string backgrounds.

## Key findings

- Homogeneous YB deformations correspond to $eta$-twisted backgrounds.
- Deformed backgrounds can be generated by generalized diffeomorphisms.
- The relation between YB deformations and TsT transformations is extended.

## Abstract

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. We also discuss more general deformations beyond the YB deformations.