Pseudo-Riemannian manifolds with many Killing spinors

Dmitri Alekseevsky (University of Edinburgh)

Monday 28th September, 2009 16:00-17:00 Mathematics Building, room 204


We prove that a pseudo-Riemannian spin manifold with sufficiently many (conformal) Killing spinors is locally (conformally) homogeneous. The basic tools are the decomposition of the spinor module into irreducible submoduler and the corresponding map, which associates with a pair of (conformal) Killing spinors a (conformal) Killing-Yano tensor. This is a generalization of a result by J. Figueroa-O'Farrill et al , obtained in the context of 11-supergravity and M-theory.

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