Supersymmetric Electrovacs In Gauged Supergravities

TL;DR

This paper demonstrates the dimensional reduction of a specific D=6 gauged supergravity to lower dimensions, constructs new supersymmetric solutions, and explores domain wall configurations preserving half supersymmetry.

Contribution

It shows the reducibility of a D=6 SU(2) gauged supergravity to 5 and 4 dimensions and constructs new supersymmetric electrovac solutions in 7-D.

Findings

Reduction to D=4 recovers a known gauged supergravity model.

Constructed a supersymmetric electrovac solution in 7-D.

Domain walls preserve half of the supersymmetry.

Abstract

We show that the D=6 SU(2) gauged supergravity of van Nieuwenhuizen et al, obtained by dimensional reduction of the D=7 topologically massive gauged supergravity and previously thought not to be dimensionally reducible, can be further reduced to five and four dimensions. On reduction to D=4 one recovers the special case of the SU(2)XSU(2) gauged supergravity of Freedman and Schwarz for which one of the SU(2) coupling constants vanishes. Previously known supersymmetric electrovacs of this model then imply new ground states in 7-D. We construct a supersymmetric electrovac solution of N=2 SU(2) gauged supergravity in 7-D. We also investigate the domain wall solutions of these theories and show they preserve a half of the supersymmetry.