A Possible IIB Superstring Matrix Model with Euler Characteristic and a Double Scaling Limit

TL;DR

This paper demonstrates that a Yang-Mills matrix model for type IIB superstrings captures the Euler characteristic of Riemann surface moduli space at the saddle point, linking large-n limit to the Penner model's double scaling limit.

Contribution

It introduces a matrix model that encodes topological features of string theory and connects large-n limits to known models like the Penner model.

Findings

Matrix model captures Euler characteristic of Riemann surfaces.

Large-n limit corresponds to double scaling in the Penner model.

Model supports non-perturbative description of type IIB superstrings.

Abstract

We show that a recently proposed Yang-Mills matrix model with an auxiliary field, which is a candidate for a non-perturbative description of type IIB superstrings, captures the Euler characteristic of moduli space of Riemann surfaces. This happens at the saddle point for the Yang-Mills field. It turns out that the large-n limit in this matrix model corresponds to a double scaling limit in the Penner model.