A New Construction of Einstein-Sasaki Metrics in D >= 7

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dc.creatorLu, H.
dc.creatorPope, C. N.
dc.creatorVazquez-Poritz, J. F.
dc.date2005-12-23
dc.date2006-02-03
dc.date.accessioned2026-07-07T10:45:33Z
dc.date.available2026-07-07T10:45:33Z
dc.descriptionWe construct explicit Einstein-Kahler metrics in all even dimensions D=2n+4 \ge 6, in terms of a $2n$-dimensional Einstein-Kahler base metric. These are cohomogeneity 2 metrics which have the new feature of including a NUT-type parameter, in addition to mass and rotation parameters. Using a canonical construction, these metrics all yield Einstein-Sasaki metrics in dimensions D=2n+5 \ge 7. As is commonly the case in this type of construction, for suitable choices of the free parameters the Einstein-Sasaki metrics can extend smoothly onto complete and non-singular manifolds, even though the underlying Einstein-Kahler metric has conical singularities. We discuss some explicit examples in the case of seven-dimensional Einstein-Sasaki spaces. These new spaces can provide supersymmetric backgrounds in M-theory, which play a role in the AdS_4/CFT_3 correspondence.
dc.descriptionLatex, 18 pages, 2 figures, minor typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0512306
dc.identifierhttp://arxiv.org/abs/hep-th/0512306
dc.identifierPhys.Rev.D75:026005,2007
dc.identifierdoi:10.1103/PhysRevD.75.026005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182950
dc.subjectHigh Energy Physics - Theory
dc.titleA New Construction of Einstein-Sasaki Metrics in D >= 7
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