New results for the SQCD Hilbert series

Abstract

We derive new explicit results for the Hilbert series of N=1 supersymmetric QCD with U(Nc) and SU(Nc) color symmetry. We use two methods which have previously been applied to similar computational problems in the analysis of decay of unstable D-branes: expansions using Schur polynomials, and the log-gas approach related to random matrix theory.

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