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Sasakian Geometry, Holonomy, and Supersymmetry

Authors
  • Boyer, Charles P.
  • Galicki, Krzysztof
Type
Preprint
Publication Date
Sep 13, 2007
Submission Date
Mar 08, 2007
Identifiers
arXiv ID: math/0703231
Source
arXiv
License
Unknown
External links

Abstract

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.

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