Quivers via anomaly chains

Details Quivers via anomaly chains Quivers via anomaly chains

2003-04-12

arxiv.org/abs/hep-th/0304123v3

JHEP 0309 (2003) 041

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, latex; typos corrected, published version

Scientific paper

10.1088/1126-6708/2003/09/041

We study quivers in the context of matrix models. We introduce chains of generalized Konishi anomalies to write the quadratic and cubic equations that constrain the resolvents of general affine and non-affine quiver gauge theories, and give a procedure to calculate all higher-order relations. For these theories we also evaluate, as functions of the resolvents, VEV's of chiral operators with two and four bifundamental insertions. As an example of the general procedure we explicitly consider the two simplest quivers A2 and A1(affine), obtaining in the first case a cubic algebraic curve, and for the affine theory the same equation as that of U(N) theories with adjoint matter, successfully reproducing the RG cascade result.

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