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arXiv · 1406.4672

A family of non-restricted $D=11$ geometric supersymmetries

Frank Klinker
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Abstract

We construct a two parameter family of eleven-dimensional indecomposable Cahen-Wallach spaces with irreducible, non-flat, non-restricted geometric supersymmetry of fraction $\nu=\tfrac{3}{4}$. 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 $\nu=\tfrac{1}{2}$ in dimension six and a non-restricted $N=2$ geometric supersymmetry with $\nu=\tfrac{3}{4}$ in dimension nine.

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Frank Klinker. 2014-06-18. A family of non-restricted $D=11$ geometric supersymmetries. https://doi.org/10.1016/j.geomphys.2014.10.008

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