A New Infinite Class of Sasaki-Einstein Manifolds

@inproceedings{Gauntlett2004ANI,
  title={A New Infinite Class of Sasaki-Einstein Manifolds},
  author={Jerome P. Gauntlett and Dario Martelli and James F. Sparks and Daniel Waldram},
  year={2004}
}
We show that for every positive curvature Kähler–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 × X5 solutions of type IIB string theory, while when n = 2 we obtain new supersymmetric AdS4×X7 solutions of D = 11 supergravity. Both are expected to provide new supergravity duals of superconformal field theories. ∗ On leave from… CONTINUE READING
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