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Comments on anomalies and charges of toric-quiver duals
Author(s) -
Sangmin Lee,
Soo-Jong Rey
Publication year - 2006
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 - 10.1088/1126-6708/2006/03/068
Subject(s) - quiver , dual polyhedron , equivalence (formal languages) , gauge theory , gauge (firearms) , mathematics , simple (philosophy) , physics , pure mathematics , current (fluid) , ambiguity , einstein , theoretical physics , mathematical physics , computer science , philosophy , archaeology , epistemology , history , programming language , thermodynamics
We obtain a simple expression for the triangle `t Hooft anomalies in quivergauge theories that are dual to toric Sasaki-Einstein manifolds. We utilize theresult and simplify considerably the proof concerning the equivalence ofa-maximization and Z-minimization. We also resolve the ambiguity in definingthe flavor charges in quiver gauge theories. We then compare coefficients ofthe triangle anomalies with coefficients of the current-current correlators andfind perfect agreement.Comment: 22 pages, 3 figure

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