Spinorial Geometry and Supergravity

dc.creatorGillard, Joe
dc.date2006-08-19
dc.date.accessioned2026-07-07T07:20:29Z
dc.date.available2026-07-07T07:20:29Z
dc.descriptionIn the main part of this thesis, we present the foundations and initial results of the Spinorial Geometry formalism for solving Killing spinor equations. This method can be used for any supergravity theory, although we largely focus on D=11 supergravity. The D=5 case is investigated in an appendix. The exposition provides a comprehensive introduction to the formalism, and contains background material on the complex spin representations which, it is hoped, will provide a useful bridge between the mathematical literature and our methods. Many solutions to the D=11 Killing spinor equations are presented, and the consequences for the spacetime geometry are explored in each case. Also in this thesis, we consider another class of supergravity solutions, namely heterotic string backgrounds with (2,0) world-sheet supersymmetry. We investigate the consequences of taking alpha-prime corrections into account in the field equations, in order to remain consistent with anomaly cancellation, while requiring that spacetime supersymmetry is preserved.
dc.descriptionPhD thesis, 120 pages; King's College London, 2006; adapted for arXiv
dc.identifierhttps://arxiv.org/abs/hep-th/0608139
dc.identifierhttp://arxiv.org/abs/hep-th/0608139
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114968
dc.subjectHigh Energy Physics - Theory
dc.titleSpinorial Geometry and Supergravity
dc.typetext

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