A New Infinite Class of Sasaki-Einstein Manifolds

Details A New Infinite Class of Sasaki-Einstein Manifolds A New Infinite Class of Sasaki-Einstein Manifolds

2004-03-02

arxiv.org/abs/hep-th/0403038v2

Adv.Theor.Math.Phys.8:987-1000,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages. v2: minor typos corrected, comment on generalisation to product base manifolds

Scientific paper

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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