Authors: Klinker, Frank
Title: Eleven-dimensional symmetric supergravity backgrounds, their geometric superalgebras, and a common reduction
Language (ISO): en
Abstract: We present two different families of eleven-dimensional manifolds that admit non-restricted extensions of their isometry algebras to geometric superalgebras. Both families admit points for which the superalgebra extends to a super Lie algebra; on the one hand, a family of N = 1, 𝜈=3/4 supergravity backgrounds and, on the other hand, an N = 1, 𝜈=1 supergravity background. Furthermore, both families admit a point that can be identified with an N = 4, 𝜈=1/2 six-dimensional supergravity background.
Subject Headings: high-energy physics
differential geometry
Issue Date: 2014-10-23
Appears in Collections:Preprints der Fakultät für Mathematik

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