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Dibaryons from exceptional collections
Author(s) -
Christopher P. Herzog,
Johannes Walcher
Publication year - 2003
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 - 10.1088/1126-6708/2003/09/060
Subject(s) - quiver , anomaly (physics) , gauge theory , physics , m theory , brane , intersection (aeronautics) , theoretical physics , charge (physics) , type (biology) , mathematics , pure mathematics , mathematical physics , particle physics , supersymmetry , quantum mechanics , geography , supergravity , ecology , cartography , biology
We discuss aspects of the dictionary between brane configurations in delPezzo geometries and dibaryons in the dual superconformal quiver gaugetheories. The basis of fractional branes defining the quiver theory at thesingularity has a K-theoretic dual exceptional collection of bundles which canbe used to read off the spectrum of dibaryons in the weakly curved dualgeometry. Our prescription identifies the R-charge R and all baryonic U(1)charges Q_I with divisors in the del Pezzo surface without any Weyl groupambiguity. As one application of the correspondence, we identify the cubicanomaly tr R Q_I Q_J as an intersection product for dibaryon charges in large-Nsuperconformal gauge theories. Examples can be given for all del Pezzo surfacesusing three- and four-block exceptional collections. Markov-type equationsenforce consistency among anomaly equations for three-block collections.Comment: 47 pages, 11 figures, corrected ref

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