Quivers via anomaly chains

Abstract

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.

32 pages, latex; typos corrected, published version

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Cited by in corpus (7)

• Method of Generating q-Expansion Coefficients for Conformal Block and N=2 Nekrasov Function by beta-Deformed Matrix Model
• N=1 Geometries via M-theory
• Higher order loop equations for A_r and D_r quiver matrix models
• Phases and geometry of the N=1 A_2 quiver gauge theory and matrix models
• Quiver Gauge Theory and Conformality at the TeV Scale
• Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
• Quantum Geometries of $A_2$