Quivers via anomaly chains | Zendy

Roberto Casero | Zendy; Enrico Trincherini | Zendy

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Quivers via anomaly chains

Author(s) -

Roberto Casero,

Enrico Trincherini

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 - 10.1088/1126-6708/2003/09/041

Subject(s) - quiver , affine transformation , pure mathematics , mathematics , anomaly (physics) , context (archaeology) , quadratic equation , gauge theory , algebraic number , matrix (chemical analysis) , order (exchange) , algebra over a field , physics , mathematical physics , mathematical analysis , geometry , quantum mechanics , paleontology , materials science , finance , composite material , economics , biology

We study quivers in the context of matrix models. We introduce chains ofgeneralized Konishi anomalies to write the quadratic and cubic equations thatconstrain the resolvents of general affine and non-affine quiver gaugetheories, and give a procedure to calculate all higher-order relations. Forthese theories we also evaluate, as functions of the resolvents, VEV's ofchiral operators with two and four bifundamental insertions. As an example ofthe general procedure we explicitly consider the two simplest quivers A2 andA1(affine), obtaining in the first case a cubic algebraic curve, and for theaffine theory the same equation as that of U(N) theories with adjoint matter,successfully reproducing the RG cascade result.Comment: 32 pages, latex; typos corrected, published versio

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