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Sasaki-Einstein metrics on \(S^2\times S^3\). (English) Zbl 1136.53317

Summary: 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.

MSC:

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C80 Applications of global differential geometry to the sciences
83E50 Supergravity
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