R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization | Zendy

Agostino Butti | Zendy; Alberto Zaffaroni | Zendy

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R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization

Author(s) -

Agostino Butti,

Alberto Zaffaroni

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/11/019

Subject(s) - toric variety , gravitational singularity , maximization , equivalence (formal languages) , conjecture , diagram , minification , gauge theory , charge (physics) , central charge , mathematics , physics , theoretical physics , pure mathematics , mathematical physics , geometry , quantum mechanics , mathematical analysis , mathematical optimization , statistics , conformal map

We conjecture a general formula for assigning R-charges and multiplicitiesfor the chiral fields of all gauge theories living on branes at toricsingularities. We check that the central charge and the dimensions of all thechiral fields agree with the information on volumes that can be extracted fromtoric geometry. We also analytically check the equivalence between the volumeminimization procedure discovered in hep-th/0503183 and a-maximization, for themost general toric diagram. Our results can be considered as a very generalcheck of the AdS/CFT correspondence, valid for all superconformal theoriesassociated with toric singularities.Comment: 43 pages, 17 figures; minor correction

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