Parallel spinors and connections with skew-symmetric torsion in string theory

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dc.creatorFriedrich, Thomas
dc.creatorIvanov, Stefan
dc.date2001-02-19
dc.date2003-01-07
dc.date.accessioned2026-07-07T11:10:38Z
dc.date.available2026-07-07T11:10:38Z
dc.descriptionWe describe all almost contact metric, almost hermitian and $G_2$-structures admitting a connection with totally skew-symmetric torsion tensor, and prove that there exists at most one such connection. We investigate its torsion form, its Ricci tensor, the Dirac operator and the $\nabla$-parallel spinors. In particular, we obtain solutions of the type II string in dimension $n=5,6$ and 7.
dc.descriptionLatex2e, 35 pages
dc.identifierhttps://arxiv.org/abs/math/0102142
dc.identifierhttp://arxiv.org/abs/math/0102142
dc.identifierAsianJ.Math.6:303-336,2002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190835
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject53C25, 53C27, 53C55, 81T30
dc.titleParallel spinors and connections with skew-symmetric torsion in string theory
dc.typetext

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