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A New Infinite Class of Sasaki-Einstein Manifolds

Jerome P. Gauntlett·Dario Martelli·James F. Sparks·Daniel Waldram
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Abstract

We show that for every positive curvature Kahler-Einstein manifold in dimension 2n there is a countably infinite class of associated Sasaki-Einstein manifolds X_{2n+3} in dimension 2n+3. When n=1 we recover a recently discovered family of supersymmetric AdS_5 x X_5 solutions of type IIB string theory, while when n=2 we obtain new supersymmetric AdS_4 x X_7 solutions of D=11 supergravity. Both are expected to provide new supergravity duals of superconformal field theories.

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Jerome P. Gauntlett, Dario Martelli, James F. Sparks, Daniel Waldram. 2004-06-02. A New Infinite Class of Sasaki-Einstein Manifolds. https://arxiv.org/abs/hep-th/0403038

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