Correlators in the Simplest Gauge-String Duality

TL;DR

This paper demonstrates a simple relation between planar correlators in a Gaussian matrix model and genus zero correlators in topological string theory on P^1, providing further evidence for their duality.

Contribution

It establishes a direct relation between matrix model correlators and topological string correlators, supporting the gauge-string duality conjecture.

Findings

Identifies a simple relation between correlators in the two theories

Provides additional evidence for the gauge-string duality

Connects matrix model results with topological string theory

Abstract

In this note we compare planar correlators such as $< \prod_i^n Tr M^{2k_i} >$ in the Gaussian matrix model with corresponding genus zero correlators of the A-model topological string theory on $P^1$. We find a simple relation between them which provides additional evidence for the duality between the two theories, as proposed in arXiv:1104.2386.