A family of non-restricted D=11 geometric supersymmetries
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Date
2014-07-14
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Abstract
We construct a two parameter family of irreducible, eleven-dimensional, indecomposable, non-flat Cahen-Wallach spaces with non-restricted geometric supersymmetry of fraction ν = 3/4. Its compactified moduli space can be parametrized by a compact interval with two points corresponding to two non-isometric, decomposable spaces. These singular spaces are associated to a restricted N = 4 geometric supersymmetry with ν = 1/2 in dimension six and a non-restricted N = 2 geometric supersymmetry with ν = 3/4 in dimension nine.
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differential geometry, geometric superalgebra, geometric supersymmetry