The Domain Walls of Gauged Maximal Supergravities and their M-theory Origin

TL;DR

This paper explores the connection between gauged maximal supergravities with CSO(p,q,r) gauge groups and their origins in M-theory, focusing on domain wall solutions and their higher-dimensional brane interpretations.

Contribution

It constructs scalar potentials and domain wall solutions for CSO(p,q,r) gauged supergravities and elucidates their M-theory brane origins, especially in D=8 and D=9 cases.

Findings

Derived scalar potentials for gauged supergravities.

Constructed explicit domain wall solutions.

Linked domain walls to brane distributions in M-theory.

Abstract

We consider gauged maximal supergravities with CSO(p,q,r) gauge groups and their relation to the branes of string and M-theory. The gauge groups are characterised by n mass parameters, where n is the transverse dimension of the brane. We give the scalar potentials and construct the corresponding domain wall solutions. In addition, we show the higher-dimensional origin of the domain walls in terms of (distributions of) branes. We put particular emphasis on the CSO(p,q,r) gauged supergravities in D=9 and D=8, which are related to the D7-brane and D6-brane, respectively. In these cases, twisted and group manifold reductions are shown to play a crucial role. We also discuss salient features of the corresponding brane distributions.