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IPM
30
YEARS OLD

“School of Physic”

Paper   IPM / Physic / 15688
   School of Physics
  Title: Generalized Yang-Baxter Equation from d=11 Supergravity
  Author(s):
1 . I. Bakhmatov
2 . N. Sadik Deger
3 . E. T. Musaev
4 . E. O Colgain
5 . M.M. Sheikh-Jabbari
  Status: Published
  Journal: JHEP
  Vol.: 1908
  Year: 2019
  Pages: 126
  Supported by: IPM
  Abstract:
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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