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.
CITATION STYLE
Bakhmatov, I., Deger, N. S., Musaev, E. T., Colgáin, E., & Sheikh-Jabbari, M. M. (2019). Tri-vector deformations in d = 11 supergravity. Journal of High Energy Physics, 2019(8). https://doi.org/10.1007/JHEP08(2019)126
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