Exponent of n-Ising matter fields coupled to 2d gravity

TL;DR

This paper investigates the behavior of n-Ising spins on random surfaces within a matrix model framework, focusing on the coupling of matter fields with central charge greater than one to 2D gravity, and estimates the magnetic field scaling exponent.

Contribution

It introduces a matrix model approach to study n-Ising matter fields coupled to 2D gravity with c > 1 and estimates the magnetic field exponent using series expansion.

Findings

Estimated the magnetic field scaling exponent $ abla$.

Analyzed the n-Ising model on random surfaces.

Explored matter-gravity coupling for c > 1.

Abstract

n-Ising spins on a random surface represented by a matrix model is studied as a model of the 2D gravity coupled to matter field with the central charge c > 1. The magnetic field is introduced to discuss the scaling exponent $\Delta$, and the value of this magnetic field exponent is estimated by the series expansion.