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

Abstract

A bstract A truncation of the SL(5) Exceptional Field Theory that allows to describe spacetimes of the form M 4 × M 7 with the 4-form flux on M 4 is constructed. The resulting theory is used to test the recently proposed tri-vector generalisation of Yang-Baxter deformations applied to the AdS 4 × $$\mathbbm{S}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>S</mml:mi> </mml:math> 7 solution of d = 11 supergravity. We present two new supergravity solutions corresponding to non-abelian non-unimodular tri-vector deformations of AdS 4 × $$\mathbbm{S}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>S</mml:mi> </mml:math> 7 .

Topics & Concepts