Planar Abelian Duals of Chern-Simons QCD

TL;DR

This paper introduces new infrared dualities between 2+1D non-Abelian and Abelian gauge theories, revealing a planar quiver structure and connections to supersymmetric mirror symmetry and bosonization.

Contribution

It proposes the first explicit dualities linking non-Abelian Chern-Simons theories to Abelian theories with a planar quiver structure, rooted in supersymmetric mirror symmetry.

Findings

Dualities connect non-Abelian and Abelian gauge theories.

Dual theories exhibit a planar quiver structure.

Features of bosonization are demonstrated in the dualities.

Abstract

We propose novel infrared dualities connecting 2+1 dimensional non-Abelian gauge theories (with unitary or special unitary gauge groups) to Abelian gauge theories. The dual Abelian theories are characterized by a planar quiver structure, where interactions are fully encoded in the quiver diagram. These dualities are rooted in supersymmetric mirror symmetry and display the characteristic exchange of mesonic and monopole operators. Furthermore, our proposed dualities exhibit features of bosonization: the addition of a fermionic (bosonic) flavor to the non-Abelian side corresponds to the addition of a bosonic (fermionic) column in the dual planar quiver.