Local geometry of the G2 moduli space

dc.creatorGrigorian, Sergey
dc.creatorYau, Shing-Tung
dc.date2008-02-05
dc.date.accessioned2026-07-07T12:53:59Z
dc.date.available2026-07-07T12:53:59Z
dc.descriptionWe consider deformations of torsion-free G2 structures, defined by the G2-invariant 3-form $ϕ$ and compute the expansion of the Hodge star of $ϕ$ to fourth order in the deformations of $ϕ$. By considering M-theory compactified on a G2 manifold, the G2 moduli space is naturally complexified, and we get a Kahler metric on it. Using the expansion of the Hodge star of $ϕ$ we work out the full curvature of this metric and relate it to the Yukawa coupling.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0802.0723
dc.identifierhttp://arxiv.org/abs/0802.0723
dc.identifierCommun.Math.Phys.287:459-488,2009
dc.identifierdoi:10.1007/s00220-008-0595-1
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223778
dc.subjectHigh Energy Physics - Theory
dc.titleLocal geometry of the G2 moduli space
dc.typetext

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