Sasaki-Einstein Metrics on S^2\times S^3

362 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Gauge theories from toric geometry and brane tilings (2005, background): “p + q, c = p these reduce to the Y p,q family of metrics, which have an enhanced SU(2) isometry [10, 11 , 12].”
Supersymmetric AdS5 solutions of type IIB supergravity (2005, background): “The solutions found in [2] led to an infinite number of new explicit Sasaki–Einstein metrics on S2 × S3 called Y p,q [ 10 ].”
On Eta-Einstein Sasakian Geometry (2004, background): “This conjecture has now been examined for many known Sasakian-Einstein metric in dimension 5 and 7. All this has led to a remarkable discovery of new cohomogeneity one Sasakian-Einstein metrics [ GMSW04a , GMSW04b].”
Sasaki–Einstein Manifolds and Volume Minimisation (2006, background): “Indeed, remarkable agreement was found between the geometrical computation in the case of the Y p,q metrics [ 10 , 23] and the”
The Geometric Dual of a–Maximisation for Toric Sasaki–Einstein Manifolds (2005, methodology): “This is precisely the Reeb vector of the Y p,q metrics [ 2 , 9]. One then easily reproduces”
Obstructions to the Existence of Sasaki–Einstein Metrics (2006, background): “Sasaki–Einstein metrics of [ 43 ] can be constructed (in fact they were actually found”