Open and Closed String Worldsheets from Free Large N Gauge Theories with Adjoint and Fundamental Matter

TL;DR

This paper extends Gopakumar's method to construct open and closed string worldsheets from free large N gauge theories with fundamental matter, generalizing the gluing mechanism and analyzing correlators involving fundamental fields.

Contribution

It introduces a generalization of Gopakumar's prescription to include fundamental matter and explores the properties of the resulting string worldsheets.

Findings

Extended the gluing mechanism to fundamental matter

Computed correlators with fundamental matter

Analyzed properties of Gopakumar's construction

Abstract

We extend Gopakumar's prescription for constructing closed string worldsheets from free field theory diagrams with adjoint matter to open and closed string worldsheets arising from free field theories with fundamental matter. We describe the extension of the gluing mechanism and the electrical circuit analogy to fundamental matter. We discuss the generalization of the existence and uniqueness theorem of Strebel differentials to open Riemann surfaces. Two examples are computed of correlators containing fundamental matter, and the resulting worldsheet OPE's are computed. Generic properties of Gopakumar's construction are discussed.