A New Infinite Class of Sasaki-Einstein Manifolds
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 X2n+3 in dimension 2n+3. When n=1 we recover a recently discovered family of supersymmetric AdS5 x X5 solutions of type IIB string theory, while when n=2 we obtain new supersymmetric AdS4 x X7 solutions of D=11 supergravity. Both are expected to provide new supergravity duals of superconformal field theories.
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