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arXiv · 1112.4967

Symmetric M-Theory Backgrounds

José Figueroa-O'Farrill
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Abstract

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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José Figueroa-O'Farrill. 2011-12-21. Symmetric M-Theory Backgrounds. https://doi.org/10.2478/s11534-012-0160-6

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