Journal article
The geometric dual of a-maximisation for toric Sasaki-Einstein manifolds
- Abstract:
-
We show that the Reeb vector, and hence in particular the volume, of a Sasaki-Einstein metric on the base of a toric Calabi-Yau cone of complex dimension n may be computed by minimising a function Z on ℝn which depends only on the toric data that defines the singularity. In this way one can extract certain geometric information for a toric Sasaki-Einstein manifold without finding the metric explicitly. For complex dimension n = 3 the Reeb vector and the volume correspond to the R-symmetry and...
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- Publication status:
- Published
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Bibliographic Details
- Journal:
- COMMUNICATIONS IN MATHEMATICAL PHYSICS
- Volume:
- 268
- Issue:
- 1
- Pages:
- 39-65
- Publication date:
- 2006-11-01
- DOI:
- EISSN:
-
1432-0916
- ISSN:
-
0010-3616
Item Description
- Language:
- English
- Pubs id:
-
pubs:13128
- UUID:
-
uuid:0cde9701-6f8a-4d77-a19c-10fc44939365
- Local pid:
- pubs:13128
- Source identifiers:
-
13128
- Deposit date:
- 2012-12-19
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- Copyright date:
- 2006
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