String Duals of Two-Dimensional Yang-Mills and Symmetric Product Orbifolds

TL;DR

This paper proposes a bosonic string dual to large N two-dimensional chiral Yang-Mills theory, reproducing key physical quantities and exploring duals for symmetric product orbifolds, revealing connections among various string theories and AdS3/CFT2.

Contribution

It introduces a novel string dual for 2D Yang-Mills at finite coupling and extends duality concepts to symmetric product orbifolds with deformations.

Findings

Reproduces partition function, amplitudes, and Wilson loop area law.

Proposes candidate string duals for symmetric product orbifolds.

Suggests interrelations among different string theories and AdS3/CFT2.

Abstract

We propose a bosonic string dual to large $N$ chiral Yang-Mills in two dimensions at finite 't Hooft coupling. The worldsheet theory is a $\beta$-$\gamma$ system deformed by a chiral Polchinski-Strominger term. We reproduce the partition function on a torus, cylinder three-point amplitudes, and the area law for Wilson loops. We also present candidate string duals to symmetric product orbifolds for general seed CFTs with $c<24$ and their $T\bar{T}$-, $J\bar{T}$-deformations. The results hint at interrelations among confining, nonrelativistic and matrix strings, and AdS$_3/$CFT$_2$.