Symmetric M-Theory Backgrounds

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.

36 pages, 6 figures

References in corpus (2)

• The Killing superalgebra of ten-dimensional supergravity backgrounds
• The homogeneity theorem for supergravity backgrounds

Cited by in corpus (6)

• Trivial solutions of generalized supergravity vs non-abelian T-duality anomaly
• Supersymmetric Backgrounds, the Killing Superalgebra, and Generalised Special Holonomy
• Spencer cohomology and eleven-dimensional supergravity
• (M-theory-)Killing spinors on symmetric spaces
• $D=11$ $d{S}_5$ backgrounds with enhanced supersymmetry
• Decomposable $(5,6)$-solutions in eleven-dimensional supergravity