Unitary matrix with a Penner-like potential also yields N_f=2

Abstract

It has been known for some time that a hermitian matrix model with a Penner-like potential yields as its large-N free energy the prepotential of N=2 N_f=2 SU(2) SUSY gauge theory. We give a rigorous proof that a unitary matrix model with the identical potential also yields the same prepotential, although the parameter identifications are slightly different. This result has been anticipated by Itoyama et. al.

arXiv comment11 pages. v2: references added. To appear in Phys.Lett.B

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