Sasakian manifolds and M-theory

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We extend the link between Einstein Sasakian manifolds and Killing spinors to a class of η -Einstein Sasakian manifolds, both in Riemannian and Lorentzian settings, characterising them in terms of generalised Killing spinors. We propose a definition of supersymmetric M-theory backgrounds on such a geometry and find a new class of such backgrounds, extending previous work of Haupt, Lukas and Stelle.
Original languageEnglish
Article number095004
Number of pages20
JournalClassical and quantum gravity
Issue number9
Publication statusPublished - 12 Apr 2016

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