Abstract
Yang-Baxter string sigma-models provide a systematic way to deform coset geometries, such as AdSp × Sp, while retaining the σ-model integrability. It has been shown that the Yang-Baxter deformation in target space is simply an open-closed string map that can be defined for any geometry, not just coset spaces. Given a geometry with an isometry group and a bivector that is assumed to be a linear combination of antisymmetric products of Killing vectors, we show the equations of motion of (generalized) supergravity reduce to the Classical Yang-Baxter Equation associated with the isometry group, proving the statement made in [1]. These results bring us closer to the proof of the “YB solution generating technique” for (generalized) supergravity advertised in [1] and in particular provide an economical way to perform TsT transformations.
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Bakhmatov, I., Colgáin, E.Ó., Sheikh-Jabbari, M.M. et al. Yang-Baxter deformations beyond coset spaces (a slick way to do TsT). J. High Energ. Phys. 2018, 161 (2018). https://doi.org/10.1007/JHEP06(2018)161
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DOI: https://doi.org/10.1007/JHEP06(2018)161