M-theory backgrounds with 30 Killing spinors are maximally supersymmetric

Details M-theory backgrounds with 30 Killing spinors are maximally supersymmetric M-theory backgrounds with 30 Killing spinors are maximally supersymmetric

2010-01-07

arxiv.org/abs/1001.1103v2

JHEP 1003:112,2010

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, latex. Minor changes.

Scientific paper

10.1007/JHEP03(2010)112

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.

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