New Einstein-Sasaki spaces in five and higher dimensions
Apr, 20054 pages
Published in:
- Phys.Rev.Lett. 95 (2005) 071101
e-Print:
- hep-th/0504225 [hep-th]
Report number:
- UPR1116-T,
- MIFP-05-09,
- ALBERTA-THY-06-05
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Abstract:
We obtain infinite classes of new Einstein-Sasaki metrics on complete and non-singular manifolds. They arise, after Euclideanisation, from BPS limits of the rotating Kerr-de Sitter black hole metrics. The new Einstein-Sasaki spaces L^{p,q,r} in five dimensions have cohomogeneity 2, and U(1) x U(1) x U(1) isometry group. They are topologically S^2 x S^3. Their AdS/CFT duals will describe quiver theories on the four-dimensional boundary of AdS_5. We also obtain new Einstein-Sasaki spaces of cohomogeneity n in all odd dimensions D=2n+1 \ge 5, with U(1)^{n+1} isometry.- 04.50.+h
- 04.20.Jb
- black holes
- string theory
- conformal field theory
- topology
- general relativity
- Einstein equation: solution
- space-time: higher-dimensional
- supergravity
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