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Construction of Einstein-Sasaki metrics in D ≥ 7

Construction of Einstein-Sasaki metrics in D ≥ 7 We construct explicit Einstein-Kähler metrics in all even dimensions D = 2 n + 4 ≥ 6 , in terms of a 2 n -dimensional Einstein-Kähler base metric. These are cohomogeneity 2 metrics which have the new feature of including a NUT-type parameter, or gravomagnetic charge, in addition to.." in addition to mass and rotation parameters. Using a canonical construction, these metrics all yield Einstein-Sasaki metrics in dimensions D = 2 n + 5 ≥ 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 nonsingular manifolds, even though the underlying Einstein-Kähler 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 rôle in the AdS 4 / CFT 3 correspondence. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Construction of Einstein-Sasaki metrics in D ≥ 7

Physical Review D , Volume 75 (2) – Jan 15, 2007
9 pages

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References (24)

Publisher
American Physical Society (APS)
Copyright
Copyright © 2007 The American Physical Society
ISSN
1550-2368
DOI
10.1103/PhysRevD.75.026005
Publisher site
See Article on Publisher Site

Abstract

We construct explicit Einstein-Kähler metrics in all even dimensions D = 2 n + 4 ≥ 6 , in terms of a 2 n -dimensional Einstein-Kähler base metric. These are cohomogeneity 2 metrics which have the new feature of including a NUT-type parameter, or gravomagnetic charge, in addition to.." in addition to mass and rotation parameters. Using a canonical construction, these metrics all yield Einstein-Sasaki metrics in dimensions D = 2 n + 5 ≥ 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 nonsingular manifolds, even though the underlying Einstein-Kähler 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 rôle in the AdS 4 / CFT 3 correspondence.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jan 15, 2007

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