Classical group matrix models and universal criticality

A bstract We study generalizations of the Gross-Witten-Wadia unitary matrix model for special orthogonal and symplectic groups. show using a standard Coulomb gas treatment — employing path integral formalism ungapped phase resolvent techniques gapped with one coupling constant that in large N limit, free energy normalized modulo square gauge group rank is twice value case. Using generalized Cauchy identities character polynomials, we then demonstrate universality this transition an arbitrary number constants by linking to random partition based on Schur measure.