Sasakian Geometry, Holonomy, and Supersymmetry

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dc.creatorBoyer, Charles P.
dc.creatorGalicki, Krzysztof
dc.date2007-03-08
dc.date2007-09-13
dc.date.accessioned2026-07-07T08:29:14Z
dc.date.available2026-07-07T08:29:14Z
dc.descriptionIn 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.
dc.description40 pages, some minor corrections made, to appear in the Handbook of pseudo-Riemannian Geometry and Supersymmetry
dc.identifierhttps://arxiv.org/abs/math/0703231
dc.identifierhttp://arxiv.org/abs/math/0703231
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137897
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject53C25
dc.titleSasakian Geometry, Holonomy, and Supersymmetry
dc.typetext

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