All symmetric space solutions of eleven-dimensional supergravity

Abstract

We find all symmetric space solutions of eleven-dimensional supergravity completing an earlier classification by Figueroa-O'Farrill. They come in two types: AdS solutions and pp-wave solutions. We analyze the supersymmetry conditions and show that out of the 99 AdS geometries the only supersymmetric ones are the well known backgrounds arising as near-horizon limits of (intersecting) M-branes and preserving 32, 16 or 8 supersymmetries. The general form of the superisometry algebra for symmetric space backgrounds is also derived.

36 pages

References in corpus (4)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• Vacua Morghulis
• Non-supersymmetric AdS and the Swampland

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• A non-existence theorem for N>16 supersymmetric AdS3 backgrounds
• AdS4 backgrounds with N>16 supersymmetries in 10 and 11 dimensions
• All superalgebras for warped AdS${}_2$ and black hole near horizon geometries
• Exotic potentials and Bianchi identities in SL(5) exceptional field theory