Sasaki-Einstein metrics on S2 × S3

Abstract

We present a countably infinite number of new explicit co-homo-geneity one Sasaki-Einstein metrics on S2 × S3 of both quasi-regular and irregular type. These give rise to new solutions of type IIB super-gravity 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. © 2004 International Press.