A New Infinite Class of Sasaki-Einstein Manifolds
High Energy Physics - Theory
2010-04-06 v2 Differential Geometry
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 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.
Keywords
Cite
@article{arxiv.hep-th/0403038,
title = {A New Infinite Class of Sasaki-Einstein Manifolds},
author = {Jerome P. Gauntlett and Dario Martelli and James F. Sparks and Daniel Waldram},
journal= {arXiv preprint arXiv:hep-th/0403038},
year = {2010}
}
Comments
12 pages. v2: minor typos corrected, comment on generalisation to product base manifolds