Large N limit of complex multi-matrix model

Abstract

We construct the complex multi-matrix model with W-representation and calculate the correlators. We establish the correspondence between the connected correlators and length-2n q-colored Dyck walks in Fredkin spin chain and discuss the entanglement entropy. Moreover, we analyze the free energy of this multi-matrix model. For the leading coefficient of the free energy, it relates to the connected correlators in large N limit.