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arxiv: hep-th/0403002 · v3 · submitted 2004-03-01 · ✦ hep-th · math.DG

Sasaki-Einstein Metrics on S² x S³

Jerome P. Gauntlett , Dario Martelli , James Sparks , Daniel Waldram This is my paper
classification ✦ hep-th math.DG
keywords metricssasaki-einsteincentralchargesclassesco-homogeneitycompactcountably
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We present a countably infinite number of new explicit co-homogeneity one Sasaki-Einstein metrics on S^2 x S^3, in both the quasi-regular and irregular classes. These give rise to new solutions of type IIB supergravity which are expected to be dual to N=1 superconformal field theories in four-dimensions with compact or non-compact R-symmetry and rational or irrational central charges, respectively.

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