An Sl(3,R) multiplet of 8-dimensional type II supergravity theories and the gauged supergravity inside

TL;DR

This paper extends the concept of massive supergravity theories to an 8-dimensional context, demonstrating an SL(3,Z) multiplet that includes an SO(3) gauged supergravity, generalizing previous lower-dimensional results.

Contribution

It introduces a new SL(3,Z) multiplet of 8D supergravity theories with an SO(3) gauged supergravity, generalizing earlier SL(2,Z) multiplets in lower dimensions.

Findings

Constructed an SL(3,Z) multiplet of supergravity theories.

Identified an SO(3) gauged supergravity within the multiplet.

Connected to dual theories by generalized dimensional reduction.

Abstract

The so-called ``massive 11-dimensional supergravity'' theory gives, for one Killing vector, Romans' massive 10-dimensional supergravity in 10 dimensions, for two Killing vectors an Sl(2,Z) multiplet of massive 9-dimensional supergravity theories that can be obtained by standard generalized dimensional reduction type IIB supergravity and has been shown to contain a gauged supergravity. We consider a straightforward generalization of this theory to three Killing vectors and a 3\times 3 symmetric mass matrix and show that it gives an Sl(3,Z) multiplet of 8-dimensional supergravity theories that contain an SO(3) gauged supergravity which is, in some way, the dual to the one found by Salam and Sezgin by standard generalized dimensional reduction.