The Killing superalgebra of ten-dimensional supergravity backgrounds
High Energy Physics - Theory
2012-08-03 v4
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.
Cite
@article{arxiv.hep-th/0703192,
title = {The Killing superalgebra of ten-dimensional supergravity backgrounds},
author = {José Figueroa-O'Farrill and Emily Hackett-Jones and George Moutsopoulos},
journal= {arXiv preprint arXiv:hep-th/0703192},
year = {2012}
}
Comments
21 pages; V2: 3 references added; V3: 1 reference added and two imprecisions corrected; V4: small changes due to error in a separate paper