New results for the SQCD Hilbert series
arXiv:1112.5454 · doi:10.1007/JHEP03(2012)048
Abstract
We derive new explicit results for the Hilbert series of N=1 supersymmetric QCD with U(N_c) and SU(N_c) 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.
33 pages, 2 figures; v2: references and comments on the 3rd order phase transition added; v3: refs. corrected