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Physics Letters B
Article . 2005 . Peer-reviewed
License: CC BY
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Physics Letters B
Article
License: CC BY
Data sources: UnpayWall
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https://dx.doi.org/10.48550/ar...
Article . 2005
License: arXiv Non-Exclusive Distribution
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Toric Sasaki–Einstein metrics on S2×S3

Authors: Martelli D.; Sparks J.;

Toric Sasaki–Einstein metrics on S2×S3

Abstract

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 Kahler-Einstein metrics. These can be used to construct local Sasaki-Einstein metrics in five dimensions which are generalisations of the Y^{p,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 S^2 x S^3. We conclude by setting up the equations describing the warped version of the Calabi-Yau cones, supporting (2,1) three-form flux.

9 pages; v2: complex coordinates given

Keywords

High Energy Physics - Theory, Mathematics - Differential Geometry, High Energy Physics - Theory (hep-th), Differential Geometry (math.DG), FOS: Mathematics, FOS: Physical sciences

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
119
Top 10%
Top 10%
Top 1%
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