Explicit Resolution of an Integrable c(4,3) Open String Theory

TL;DR

This paper analyzes a two-matrix model representing open and closed surfaces coupled with an Ising model, deriving the string equation and clarifying boundary conditions with corrections.

Contribution

It provides an explicit resolution of an integrable c(4,3) open string theory through the two-matrix model framework.

Findings

Derived the string equation for the model

Clarified boundary conditions with uniform Ising spins

Corrected previous misprints in the model

Abstract

We study the two-matrix model which represents the sum over closed and open random surfaces coupled to an Ising Model. The boundary conditions are characterized by the fact that the Ising spins sitting at the vertices of the boundaries are all in the same state. We obtain the string equation and discuss the results. (No change in physics, only some misprints are corrected)