Tri-vector deformations with external fluxes

TL;DR

This paper extends tri-vector deformation techniques to full 11D supergravity within SL(5) exceptional field theory, providing explicit transformation rules and conditions for generating new solutions.

Contribution

It introduces a comprehensive formalism for tri-vector deformations in 11D supergravity without truncation, expanding the applicability of these methods.

Findings

Derived explicit transformation rules for 11D supergravity fields.

Proved that solutions are generated under generalized Yang-Baxter and unimodularity conditions.

Extended the formalism to cover backgrounds of any form in 11D.

Abstract

We extend the formalism of tri-vector deformations to the full SL(5) exceptional field theory with no truncation assumed thus covering 11D backgrounds of any form. We derive explicit transformation rules for 11D supergravity component fields and prove that these generate solutions given the same algebraic conditions hold: generalized Yang-Baxter equation and the unimodularity condition.