Abstract :
Five nontrivial stationary points are found for maximal gauged N=16 supergravity in three dimensions with gauge group SO(8)×SO(8) by restricting the potential to a submanifold of the space of SU(3)⊂(SO(8)×SO(8))diag singlets. The construction presented here uses the embedding of E7(+7)⊂E8(+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.
