Topological String Correlators from Matrix Models

TL;DR

This paper develops a recursive method to compute matrix model correlators related to topological string theory on P^1, providing evidence for a proposed gauge string duality with the Gaussian matrix model.

Contribution

It introduces a systematic approach to calculate topological string correlators from matrix models, supporting Gopakumar's gauge/string duality conjecture.

Findings

Correlators determined by recursion relations from Schwinger-Dyson equations

Evidence supporting the Gaussian matrix model and topological A model duality

Enhanced understanding of topological string correlators from matrix models

Abstract

We discuss how to compute connected matrix model correlators for operators related to the gravitational descendants of the puncture operator, for the topological A model on P^1. The relevant correlators are determined by recursion relations that follow from a systematic 1/N expansion of well chosen Schwinger-Dyson equations. Our results provide further compelling evidence for Gopakumar's proposed "simplest gauge string duality" between the Gaussian matrix model and the topological A model on P^1.