Non-abelian tri-vector deformations in d=11 supergravity

preprint2020arXivOpen access

Abstract

A truncation of the SL(5) Exceptional Field Theory that allows to describe spacetimes of the form M4×M7M_4 \times M_7 with the 4-form flux on M4M_4 is constructed. The resulting theory is used to test the recently proposed tri-vector generalisation of Yang-Baxter deformations applied to the AdS4×S7{}_4 \times \mathbb{S}^7 solution in d=11d=11 supergravity. We present two new supergravity solutions corresponding to non-abelian non-unimodular tri-vector deformations of AdS4×S7{}_4 \times \mathbb{S}^7.

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