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arXiv · 1409.2664

Computation of generalized Killing spinors on reductive homogeneous spaces

Andree Lischewski
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Abstract

We determine the holonomy of generalized Killing spinor covariant derivatives of the form $D= \nabla + \Omega$ on pseudo-Riemannian reductive homogeneous spaces in a purely algebraic and algorithmic way, where $\Omega : TM \rightarrow \Lambda^*(TM)$ is a left-invariant homomorphism. This is essentially an application of the theory of invariant principal bundle connections defined over homogeneous principal bundles. Moreover, the algorithm allows a computation of the associated Killing superalgebra in certain cases. The procedure is demonstrated by determining the supersymmetries of certain homogeneous M2 duals, which arise in M-theory.

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Andree Lischewski. 2014-09-09. Computation of generalized Killing spinors on reductive homogeneous spaces. https://arxiv.org/abs/1409.2664

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