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Paper   IPM / Physic / 15159
School of Physics
  Title:   Yang-Baxter Deformations Beyond Coset Spaces, a slick way to do TsT
1.  I. Bakhmatov
2.  E. O' Colgáin
3.  M.M. Sheikh-Jabbari
4.  H. Yavartanoo
  Status:   Published
  Journal: JHEP
  Vol.:  1806
  Year:  2018
  Pages:   161
  Supported by:  IPM
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 an antisymmetric product 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 "YB solution generating technique" for (generalized) supergravity advertised in [1] and in particular, provides a more economic way to perform TsT transformations.

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