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arXiv · hep-th/0703192

The Killing superalgebra of ten-dimensional supergravity backgrounds

José Figueroa-O'Farrill·Emily Hackett-Jones·George Moutsopoulos
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Abstract

We construct the Killing superalgebra of supersymmetric backgrounds of ten-dimensional heterotic and type II supergravities and prove that it is a Lie superalgebra. We also show that if the fraction of supersymmetry preserved by the background is greater than 1/2, in the heterotic case, or greater than 3/4 in the type II case, then the background is locally homogeneous.

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José Figueroa-O'Farrill, Emily Hackett-Jones, George Moutsopoulos. 2012-08-02. The Killing superalgebra of ten-dimensional supergravity backgrounds. https://doi.org/10.1088/0264-9381%2F24%2F13%2F010

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