Consistent Truncations and Generalised Geometry: Scanning through Dimensions and Supersymmetry

TL;DR

This paper classifies consistent truncations of 10/11-dimensional supergravity to 4-dimensional gauged supergravities using Exceptional Generalised Geometry, identifying structures and torsion conditions that determine possible truncations.

Contribution

It provides a comprehensive classification of 4D gauged supergravities from supergravity truncations via generalized geometry, including new cases and a unified framework.

Findings

Full classification for continuous structure groups

Examples of known and new truncations

Summary of results for other dimensions

Abstract

We study consistent truncations in the framework of Exceptional Generalised Geometry. We classify the 4-dimensional gauged supergravities that can be obtained as a consistent truncation of 10/11-dimensional supergravity. Any truncation is associated to a (generalised) $G_S$-structure with singlet intrinsic torsion. We give the full classification for all truncations associated to continuous structure groups and we discuss a few examples with discrete ones. We recover gauged supergravities corresponding to known truncations as well as others for which explicit truncations are still to be constructed. We also summarise similar results obtained in the literature for truncations to $d=5,6,7$ dimensions and we complete them, when needed.