SUSY and tri-vector deformations

TL;DR

This paper investigates how tri-vector deformations of supergravity backgrounds can preserve supersymmetry by analyzing conditions within the SL(5) exceptional field theory framework, extending previous bi-vector deformation results.

Contribution

It introduces a formalism for tri-vector deformations in supergravity using SL(5) exceptional field theory and identifies conditions for supersymmetry preservation.

Findings

Derived supersymmetry transformation rules for tri-vector deformations.

Established a condition for the deformation to preserve supersymmetry.

Connected the new conditions with existing bi-vector deformation results.

Abstract

We analyze conditions for a tri-vector deformation of a supergravity background to preserve some supersymmetry. Working in the formalism of the SL(5) exceptional field theory, we present its supersymmetry transformations and introduce an additional USp(4) transformation to stay in the supergravity frame. This transformation acts on local indices and deforms BPS equations of exceptional field theory. The requirement for the deformation to vanish is the desired condition. The condition is shown to be consistent with previous results on bi-vector deformations.