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A new infinite class of Sasaki-Einstein manifolds

A new infinite class of Sasaki-Einstein manifolds

We show that for every positive curvature Kähler-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 5 solutions of type IIB …