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arXiv · 1511.03460

Sasakian manifolds and M-theory

José Figueroa-O'Farrill·Andrea Santi
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Abstract

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.

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José Figueroa-O'Farrill, Andrea Santi. 2015-11-11. Sasakian manifolds and M-theory. https://doi.org/10.1088/0264-9381%2F33%2F9%2F095004

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