The Killing superalgebra of ten-dimensional supergravity backgrounds
arXiv:hep-th/0703192 · doi:10.1088/0264-9381/24/13/010
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.
21 pages; V2: 3 references added; V3: 1 reference added and two imprecisions corrected; V4: small changes due to error in a separate paper