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, characterizing them in terms of generalized 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.
Figueroa-O'Farrill, J., Santi, A. (2016). Sasakian manifolds and M-theory. CLASSICAL AND QUANTUM GRAVITY, 33(9) [10.1088/0264-9381/33/9/095004].
Sasakian manifolds and M-theory
Santi A.
2016-01-01
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, characterizing them in terms of generalized 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.File in questo prodotto:
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