[PDF][PDF] A new infinite class of Sasaki-Einstein manifolds
2004•projecteuclid.org
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. e-print archive: http://lanl. arXiv. org/abs/hep-th/0403038
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. e-print archive: http://lanl. arXiv. org/abs/hep-th/0403038
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. e-print archive: http://lanl. arXiv. org/abs/hep-th/0403038
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