Constraints of a two-matrix model and two-supereigenvalue models

Abstract

In this paper, we reinvestigate a two-matrix model with three sets of coupling constants and derive two series of constraints. One series of the constraint operators yield the exact [Formula: see text] algebra. Other constraints are derived from the higher-order total derivatives which are associated with the free fermion point of the Calogero system. We further construct the two-supereigenvalue models and derive their super-Virasoro constraints.