Symmetric M-Theory Backgrounds

Details Symmetric M-Theory Backgrounds Symmetric M-Theory Backgrounds

2011-12-21

arxiv.org/abs/1112.4967v1

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, 6 figures

Scientific paper

We classify symmetric backgrounds of eleven-dimensional supergravity up to local isometry. In other words, we classify triples (M,g,F), where (M,g) is an eleven-dimensional lorentzian locally symmetric space and F is an invariant 4-form, satisfying the equations of motion of eleven-dimensional supergravity. The possible (M,g) are given either by (not necessarily nondegenerate) Cahen-Wallach spaces or by products AdS_d x M for 1 < d < 8 and M a not necessarily irreducible riemannian symmetric space of dimension 11-d. In most cases we determine the corresponding F-moduli spaces.

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