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 E 7(+7)⊂ 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.

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