Generalized 11D supergravity equations from tri-vector deformations

TL;DR

This paper derives generalized 11-dimensional supergravity equations via tri-vector deformations within SL(5) exceptional field theory, extending prior work and providing explicit solutions.

Contribution

It introduces a new class of deformed supergravity equations from tri-vector Yang-Baxter deformations using SL(5) exceptional field theory, with detailed derivations and solutions.

Findings

Derived generalized 11D supergravity equations from tri-vector deformations.

Connected 11D deformations to 10D generalized supergravity upon reduction.

Presented explicit non-trivial solutions to the new equations.

Abstract

In arXiv:2203.03372 we presented a modification of 11-dimensional supergravity field equations which upon dimensional reduction yields generalized supergravity equations in 10-dimensions. In this paper we provide full technical details of that result which is based on SL(5) exceptional field theory. The equations are obtained by making a non-unimodular tri-vector Yang-Baxter deformation which breaks the initial GL(11) symmetry down to GL(7)xGL(4). We also give some non-trivial solutions to these equations.