Gauged/Massive Supergravities in Diverse Dimensions

TL;DR

This paper demonstrates a systematic method to derive various massive and gauged supergravities in different dimensions from a higher-dimensional massive supergravity, revealing their gauge structures and mass mechanisms.

Contribution

It introduces a unified approach to obtain massive/gauged supergravities via dimensional reduction from a massive 11-dimensional supergravity.

Findings

Derivation of massive supergravities with SO(n-l,l) gauge groups.

Identification of the Stuckelberg mechanism for mass generation.

Connection of these theories to known supergravities like Romans' supergravity.

Abstract

We show how massive/gauged maximal supergravities in 11-n dimensions with SO(n-l,l) gauge groups (and other non-semisimple subgroups of Sl(n,R)) can be systematically obtained by dimensional reduction of ``massive 11-dimensional supergravity''. This series of massive/gauged supergravities includes, for instance, Romans' massive N=2A,d=10 supergravity for n=1, N=2,d=9 SO(2) and SO(1,1) gauged supergravities for n=2, and N=8,d=5 SO(6-l,l) gauged supergravity. In all cases, higher p-form fields get masses through the Stuckelberg mechanism which is an alternative to self-duality in odd dimensions.