Effective matter superpotentials from Wishart random matrices

We show how within the Dijkgraaf–Vafa prescription one can derive superpotentials for matter fields. The ingredients forming the nonperturbative Affleck–Dine–Seiberg superpotentials arise from constrained matrix integrals, which are equivalent to classical complex Wishart random matrices. The mechanism is similar to the way the Veneziano–Yankielowicz superpotential arises from the matrix model measure.