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| Paper IPM / Physic / 15688 |
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We construct a d=11 supergravity analogue of the open-closed string map in the context of SL(5) Exceptional Field Theory (ExFT). The deformation parameter tri-vector Ω generalizes the non-commutativity bi-vector parameter Θ of the open string. When applied to solutions in d=11, this map provides an economical way of performing TsT deformations, and may be used to recover d=10 Yang-Baxter deformations after dimensional reduction. We present a generalization of the Classical Yang-Baxter Equation (CYBE) for rank 3 objects,
which emerges from d=11 supergravity and the SL(5) ExFT. This equation is shown to reduce to the d=10 CYBE upon dimensional reduction.
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