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New Einstein-Sasaki Spaces in Five and Higher Dimensions

M. Cvetic·H. Lu·Don N. Page·C. N. Pope
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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.

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M. Cvetic, H. Lu, Don N. Page, C. N. Pope. 2005-05-27. New Einstein-Sasaki Spaces in Five and Higher Dimensions. https://doi.org/10.1103/physrevlett.95.071101

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