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The Geometric Dual of a-maximisation for Toric Sasaki-Einstein Manifolds / Martelli, D. (CERN) ; Sparks, J. (Harvard U., Dept. Math. ; Harvard U., Phys. Dept.) ; Yau, Shing-Tung (Harvard U., Dept. Math.)
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 R^n 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. [...]
hep-th/0503183; CERN-PH-TH-2005-047; HUTP-05-A0012; CERN-PH-TH-2005-047; HUTP-2005-A-0012.- Geneva : CERN, 2006 - 33 p. - Published in : Commun. Math. Phys. 268 (2006) 39-65 Access to fulltext document: PDF; Fulltext: PDF; External link: Preprint - Please contact the library if you need to access this document.

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