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