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

TL;DR

This paper constructs infinitely many explicit Sasaki-Einstein metrics on S^2 x S^3, expanding the known solutions and their potential dual superconformal field theories with diverse properties.

Contribution

It introduces a new family of explicit co-homogeneity one Sasaki-Einstein metrics on S^2 x S^3, including both quasi-regular and irregular types.

Findings

Infinite new explicit metrics on S^2 x S^3

Solutions correspond to dual N=1 superconformal field theories

Metrics include both rational and irrational central charges

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.