Supersymmetric Backgrounds from Generalized Calabi-Yau Manifolds

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dc.creatorGrana, Mariana
dc.creatorMinasian, Ruben
dc.creatorPetrini, Michela
dc.creatorTomasiello, Alessandro
dc.date2004-06-16
dc.date2004-09-22
dc.date.accessioned2026-07-07T10:49:58Z
dc.date.available2026-07-07T10:49:58Z
dc.descriptionWe show that the supersymmetry transformations for type II string theories on six-manifolds can be written as differential conditions on a pair of pure spinors, the exponentiated Kahler form exp(iJ) and the holomorphic form Omega. The equations are explicitly symmetric under exchange of the two pure spinors and a choice of even or odd-rank RR field. This is mirror symmetry for manifolds with torsion. Moreover, RR fluxes affect only one of the two equations: exp(iJ) is closed under the action of the twisted exterior derivative in IIA theory, and similarly Omega is closed in IIB. Modulo a different action of the B-field, this means that supersymmetric SU(3)-structure manifolds are all generalized Calabi-Yau manifolds, as defined by Hitchin. An equivalent, and somewhat more conventional, description is given as a set of relations between the components of intrinsic torsions modified by the NS flux and the Clifford products of RR fluxes with pure spinors, allowing for a classification of type II supersymmetric vacua on six-manifolds. We find in particular that supersymmetric six-manifolds are always complex for IIB backgrounds while they are twisted symplectic for IIA.
dc.description35 pages, LaTeX; v2: Corrections in sec. 4, references added, version to appear in JHEP
dc.identifierhttps://arxiv.org/abs/hep-th/0406137
dc.identifierhttp://arxiv.org/abs/hep-th/0406137
dc.identifierJHEP0408:046,2004
dc.identifierdoi:10.1088/1126-6708/2004/08/046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184403
dc.subjectHigh Energy Physics - Theory
dc.titleSupersymmetric Backgrounds from Generalized Calabi-Yau Manifolds
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