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.
Categories: math.DG hep-th