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Paper IPM / P / 15159  


Abstract:  
YangBaxter string sigmamodels provide a systematic way to deform coset geometries, such as AdS_{p}× S^{P}, while retaining the σmodel integrability. It has been shown that the YangBaxter deformation in target space is simply an openclosed 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 YangBaxter 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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