Sasaki-Einstein Metrics on S^2\times S^3

We present a countably infinite number of new explicit co-homo-geneity one Sasaki-Einstein metrics on S^2\times S^3 of both quasi-regular and irregular type. 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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Published 1 January 2004