Consistent subsectors of maximal supergravity and wrapped M5-branes

TL;DR

This paper introduces a new class of four-dimensional $ ext{N}=8$ gauged supergravities with unique features, computes their vacuum spectra, and explores consistent truncations related to wrapped M5-brane configurations.

Contribution

It presents a novel family of supergravities involving trombone gauging, analyzes their vacua, and formalizes conditions for consistent truncations beyond the standard gauge group.

Findings

Identified supersymmetric AdS vacua with exotic features due to trombone gauging.

Extended mass spectrum analysis to larger supergravity models.

Established criteria for consistent truncations to invariant subsectors.

Abstract

A new family of $D=4$ $\mathcal{N}=8$ gauged supergravities is introduced, consisting in a mixture of Scherk-Schwarz and dyonic CSO gaugings that involves the trombone scaling symmetry. A specific theory in this class is shown to admit supersymmetric anti-de Sitter vacua, argued to be related to various wrapped M5-brane configurations. The mass spectrum of these vacua within our maximal theory is computed, extending previous results in smaller gauged supergravity models, and shown to exhibit some exotic features due to the trombone gauging. These vacua are obtained as solutions of certain subsectors of our $\mathcal{N}=8$ supergravity. Such subsectors in turn arise by consistent truncation of the parent maximal supergravity to the invariant fields under specific groups that are not contained in the $\mathcal{N}=8$ gauge group. Prompted by these and other similar subtruncations recently considered, we formalise sufficient conditions that allow any maximal supergravity to be truncated consistently to invariant subsectors thereof when the invariance group is not necessarily contained in the $\mathcal{N}=8$ gauge group.