Sasakian Geometry, Holonomy, and Supersymmetry

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In this expository article we discuss the relations between Sasakian geometry, reduced holonomy and supersymmetry. It is well known that the Riemannian manifolds other than the round spheres that admit real Killing spinors are precisely Sasaki-Einstein manifolds, 7-manifolds with a nearly parallel G2 structure, and nearly Kaehler 6-manifolds. We then discuss the relations between the latter two and Sasaki-Einstein geometry.
40 pages, some minor corrections made, to appear in the Handbook of pseudo-Riemannian Geometry and Supersymmetry

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Differential Geometry, High Energy Physics - Theory, Mathematical Physics, 53C25

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http://salesiana.dossiersoluciones.com/handle/123456789/137897

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703231
 http://arxiv.org/abs/math/0703231

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arXiv