Some stationary points of gauged N=16 D=3 supergravity

TL;DR

This paper identifies five stationary points in a specific three-dimensional supergravity model by analyzing a restricted potential, connecting it to known four-dimensional supergravity extrema.

Contribution

It extends the analysis of stationary points from N=8, D=4 supergravity to N=16, D=3 using embedding techniques, revealing new solutions in the lower-dimensional theory.

Findings

Five nontrivial stationary points found

Connections established with known N=8, D=4 supergravity extrema

Method uses embedding of E7 into E8 to lift analysis

Abstract

Five nontrivial stationary points are found for maximal gauged N=16 supergravity in three dimensions with gauge group $SO(8)\times SO(8)$ by restricting the potential to a submanifold of the space of $SU(3)\subset(SO(8)\times SO(8))_{\rm diag}$ singlets. The construction presented here uses the embedding of $E_{7(+7)}\subset E_{8(+8)}$ to lift the analysis of N=8, D=4 supergravity performed by N. Warner to N=16, D=3, and hence, these stationary points correspond to some of the known extrema of gauged N=8, D=4 supergravity.