Sasaki-Einstein metrics on S 2 ×S 3

Advances in Theoretical and Mathematical Physics (Impact Factor: 1.07). 01/2004; 8(4). DOI: 10.4310/ATMP.2004.v8.n4.a3

ABSTRACT We present a countably infinite number of new explicit co-homo-geneity one Sasaki-Einstein metrics on S 2 ×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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