Abstract
We present a countably infinite number of new explicit co-homogeneity 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 $\mathcal{N}=1$ superconformal field theories in four dimensions with compact or non-compact $R$-symmetry and rational or irrational central charges, respectively.
Citation
Jerome P. Gauntlett. Dario Martelli. James Sparks. Daniel Waldram. "Sasaki-Einstein Metrics on $S^2\times S^3$." Adv. Theor. Math. Phys. 8 (4) 711 - 734, August 2004.
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