Toric G_2 and Spin(7) holonomy spaces from gravitational instantons and other examples

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dc.creatorGiribet, Gaston
dc.creatorSantillan, Osvaldo P.
dc.date2006-08-28
dc.date2007-04-18
dc.date.accessioned2026-07-07T11:07:10Z
dc.date.available2026-07-07T11:07:10Z
dc.descriptionNon-compact G_2 holonomy metrics that arise from a T^2 bundle over a hyper-Kahler space are discussed. These are one parameter deformations of the metrics studied by Gibbons, Lu, Pope and Stelle in hep-th/0108191. Seven-dimensional spaces with G_2 holonomy fibered over the Taub-Nut and the Eguchi-Hanson gravitational instantons are found, together with other examples. By considering the Apostolov-Salamon theorem math.DG/0303197, we construct a new example that, still being a T^2 bundle over hyper-Kahler, represents a non trivial two parameter deformation of the metrics studied in hep-th/0108191. We then review the Spin(7) metrics arising from a T^3 bundle over a hyper-Kahler and we find two parameter deformation of such spaces as well. We show that if the hyper-Kahler base satisfies certain properties, a non trivial three parameter deformations is also possible. The relation between these spaces with the half-flat structures and almost G_2 holonomy spaces is briefly discussed.
dc.description27 pages. Typos corrected. Accepted for publication in Commun.Math.Phys
dc.identifierhttps://arxiv.org/abs/hep-th/0608192
dc.identifierhttp://arxiv.org/abs/hep-th/0608192
dc.identifierCommun.Math.Phys.275:373-400,2007
dc.identifierdoi:10.1007/s00220-007-0300-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189754
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleToric G_2 and Spin(7) holonomy spaces from gravitational instantons and other examples
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