Sasaki-Einstein Metrics on S^2 x S^3

Abstract

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.

20 pages. v2: references added, typos corrected. v3: minor typos corrected

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