Duality Invariant M-theory: Gauged supergravities and Scherk-Schwarz reductions

TL;DR

This paper develops a duality-invariant M-theory reduction using Scherk-Schwarz twists, producing gauged supergravity potentials with non-geometric features and matching known gaugings, including dependence on extended coordinates.

Contribution

It introduces a novel reduction method incorporating non-geometric compactifications within a duality-invariant framework, aligning with the embedding tensor approach.

Findings

Gauged supergravity potentials derived from duality-invariant M-theory.

Matching of gaugings with the embedding tensor formalism.

Inclusion of nontrivial dependence on extended space coordinates.

Abstract

We consider the reduction of the duality invariant approach to M-theory by a U-duality group valued Scherk-Schwarz twist. The result is to produce potentials for gauged supergravities that are normally associated with non-geometric compactifications. The local symmetry reduces to gauge transformations with the gaugings exactly matching those of the embedding tensor approach to gauged supergravity. Importantly, this approach now includes a nontrivial dependence of the fields on the extra coordinates of the extended space.