Exceptional field theory: $SL(5)$

TL;DR

This paper develops an exceptional field theory formulation for supergravity with an SL(5) gauge group, extending previous work on other duality groups and promoting hidden symmetries to gauge symmetries in a higher-dimensional framework.

Contribution

It introduces a new exceptional field theory formulation for SL(5), expanding the framework to include this specific U-duality group in supergravity.

Findings

Formulation of supergravity with SL(5) gauge group.

Extension of exceptional field theory to include SL(5).

Continuity with previous duality group formulations.

Abstract

In this work the exceptional field theory formulation of supergravity with SL(5) gauge group is considered. This group appears as a U-duality group of $D=7$ maximal supergravity. In the formalism presented the hidden global duality group is promoted into a gauge group of a theory in dimensions 7+number of extended directions. This work is a continuation of the series of works for $E_{8,7,6}, SO(5,5)$ and $SL(3)\times SL(2)$ duality groups.