Master 3d Bosonization Duality with Boundaries

TL;DR

This paper extends 3d non-Abelian bosonization dualities to include boundaries, providing a systematic way to assign boundary conditions that preserve duality and exploring various gauge groups and matter content.

Contribution

It generalizes boundary condition prescriptions from Abelian to non-Abelian dualities, covering $SU$, $U$, $SO$, and $USp$ gauge theories with diverse matter fields.

Findings

Established boundary actions for non-Abelian dualities.

Generalized methods to $SO$ and $USp$ gauge theories.

Analyzed dualities with scalar and fermion matter sectors.

Abstract

We establish the action of the three-dimensional non-Abelian bosonization dualities in the presence of a boundary, which supports a non-anomalous two-dimensional theory. In particular, we generalize a prescriptive method for assigning duality consistent boundary conditions used originally for Abelian dualities to dual non-Abelian Chern-Simons-matter theories with $SU$ and $U$ gauge groups and fundamental matter sectors. The cases of single species matter sectors and those with both scalars and fermions in the dual theories are considered. Generalization of our methods to $SO$ and $USp$ Chern-Simons theories is also discussed.