Classification of Supersymmetric Flux Vacua in M Theory

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dc.creatorBehrndt, Klaus
dc.creatorCvetic, Mirjam
dc.creatorLiu, Tao
dc.date2005-12-05
dc.date2006-04-25
dc.date.accessioned2026-07-07T10:45:24Z
dc.date.available2026-07-07T10:45:24Z
dc.descriptionWe present a comprehensive classification of supersymmetric vacua of M-theory compactification on seven-dimensional manifolds with general four-form fluxes. We analyze the cases where the resulting four-dimensional vacua have N = 1,2,3,4 supersymmetry and the internal space allows for SU(2), SU(3) or G_2 structures. In particular, we find for N = 2 supersymmetry, that the external space-time is Minkowski and the base manifold of the internal space is conformally Kähler for SU(2) structures, while for SU(3) structures the internal space has to be Einstein-Sasaki and no internal fluxes are allowed. Moreover, we provide a new vacuum with N = 1 supersymmetry and SU(3) structure, where all fluxes are non-zero and the first order differential equations are solved.
dc.description50 pages, clarification of the spinor ansatz added, references added, typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0512032
dc.identifierhttp://arxiv.org/abs/hep-th/0512032
dc.identifierNucl.Phys.B749:25-68,2006
dc.identifierdoi:10.1016/j.nuclphysb.2006.04.018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182901
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectDifferential Geometry
dc.titleClassification of Supersymmetric Flux Vacua in M Theory
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