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

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.

arXiv comment19 pages, 3 figures; typo corrected, section 2.2 clarified

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• What is the Simplest Gauge-String Duality?
• On a worldsheet dual of the Gaussian matrix model
• Correlators in the Simplest Gauge-String Duality
• Strebel Differentials With Integral Lengths And Argyres-Douglas Singularities
• One-Loop Free Energy of Tensionless Type IIB String in AdS${}_5\times$S${}^5$
• From Matrices to Strings and Back
• Lectures On AdS-CFT At Weak 't Hooft Coupling At Finite Temperature