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Homogeneous Yang–Baxter deformations as generalized diffeomorphisms
Sakamoto, Jun-ichi,Sakatani, Yuho,Yoshida, Kentaroh IOP 2017 JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL Vol.50 No.41
<P>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 <I>β</I>-twisted backgrounds and represent the bosonic part of the supergravity fields in terms of the classical <I>r</I>-matrix associated with the YB deformation. We then show that various <I>β</I>-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.</P>