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

© 2020, The Author(s). A truncation of the SL(5) Exceptional Field Theory that allows to describe spacetimes of the form M4 × M7 with the 4-form flux on M4 is constructed. The resulting theory is used to test the recently proposed tri-vector generalisation of Yang-Baxter deformations applied to the AdS4 × S7 solution of d = 11 supergravity. We present two new supergravity solutions corresponding to non-abelian non-unimodular tri-vector deformations of AdS4 × S7