M-theory backgrounds with 30 Killing spinors are maximally supersymmetric
High Energy Physics - Theory
2010-05-07 v2
Abstract
We show that all M-theory backgrounds which admit more than 29 Killing spinors are maximally supersymmetric. In particular, we find that the supercovariant curvature of all backgrounds which preserve 30 supersymmetries, subject to field equations and Bianchi identities, vanishes, and that there are no such solutions which arise as discrete quotients of maximally supersymmetric backgrounds.
Keywords
Cite
@article{arxiv.1001.1103,
title = {M-theory backgrounds with 30 Killing spinors are maximally supersymmetric},
author = {U. Gran and J. Gutowski and G. Papadopoulos},
journal= {arXiv preprint arXiv:1001.1103},
year = {2010}
}
Comments
37 pages, latex. Minor changes.