December 6, 2025Open Access

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

Key Points

Partition function and area law for Wilson loops were confirmed in this analysis, highlighting strong interrelations among various string theories.
Found connections in two-dimensional Yang-Mills theory and bosonic string, particularly for seed conformal field theories with c < 24.
Investigation into deformations extends understanding of symmetric product orbifolds, further illuminating the role of Wilson loops.
Results hint at potential frameworks unifying confining and nonrelativistic string theories, with implications for future research in theoretical physics.

Abstract

We propose a bosonic string dual to large N chiral Yang-Mills theory in two dimensions at finite `t Hooft coupling. The worldsheet theory is a β − γ 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 conformal field theories with c 24 and their T T ¯ , J T ¯ deformations. The results hint at interrelations among confining, nonrelativistic, and matrix strings and AdS 3 / CFT 2 .

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

Key Points

Abstract

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