A new infinite class of Sasaki-Einstein manifolds

Abstract

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. © 2004 International Press.