Toric Sasaki-Einstein metrics on S(2)xS(3)

Journal article

We show that by taking a certain scaling limit of a Euclideanised form of the Plebanski-Demianski metrics one obtains a family of local toric Kähler-Einstein metrics. These can be used to construct local Sasaki-Einstein metrics in five dimensions which are generalisations of the Yp, q manifolds. In fact, we find that these metrics are diffeomorphic to those recently found by Cvetic, Lu, Page and Pope. We argue that the corresponding family of smooth Sasaki-Einstein manifolds all have topology S2×S3. We conclude by setting up the equations describing the warped version of the Calabi-Yau cones, supporting (2,1) three-form flux. © 2005 Elsevier B.V. All rights reserved.

Authors: Martelli, D; Sparks, J

• Publication status: Published
• Journal: Physics Letters B
• Volume: 621
• Issue: 1-2
• Pages: 208-212
• Publication date: 2005-08-11
• DOI: 10.1016/j.physletb.2005.06.059
• ISSN: 0370-2693
• Language: English