A New construction of Einstein-Sasaki metrics in D >= 7
Dec, 200518 pages
Published in:
- Phys.Rev.D 75 (2007) 026005
e-Print:
- hep-th/0512306 [hep-th]
Report number:
- MIFP-05-37
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Abstract:
We construct explicit Einstein-Kahler metrics in all even dimensions D=2n+4 \ge 6, in terms of a -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.- 02.40.-k
- 04.65.+e
- 11.25.Yb
- general relativity
- dimension: >6
- space: Kaehler
- differential forms
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