M-theory backgrounds with 30 Killing spinors are maximally supersymmetric

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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.
Original languageEnglish
Article number112
JournalJournal of High Energy Physics
Volume2010
Issue number3
Publication statusPublished - 2010

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