The Killing superalgebra of ten-dimensional supergravity backgrounds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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21 pages; V2: 3 references added; V3: 1 reference added and two imprecisions corrected

Scientific paper

10.1088/0264-9381/24/13/010

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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