|Title:||Eleven-dimensional symmetric supergravity backgrounds, their geometric superalgebras, and a common reduction|
|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|
|Appears in Collections:||Preprints der Fakultät für Mathematik|
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