New Einstein-Sasaki Spaces in Five and Higher Dimensions
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- 8 August 2005
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 95 (7) , 071101
- https://doi.org/10.1103/physrevlett.95.071101
Abstract
We obtain infinite classes of new Einstein-Sasaki metrics on complete and nonsingular manifolds. They arise, after Euclideanization, 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 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 > or = 5, with U(1)(n + 1) isometry.Keywords
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