Bosonizing three-dimensional quiver gauge theories

TL;DR

This paper develops an infinite sequence of new dualities in three-dimensional gauge theories, connecting theories with non-Abelian gauge groups and various matter representations, expanding the landscape of known dualities.

Contribution

It introduces a systematic method to generate new 3d bosonization dualities from existing conjectures, including Bose/Bose and Fermi/Fermi dualities, with consistency checks.

Findings

Discovered dualities between theories with non-Abelian product gauge groups.

Established Bose/Bose and Fermi/Fermi dualities in 3d gauge theories.

Confirmed consistency with level/rank duality in massive phases.

Abstract

We start with the recently conjectured 3d bosonization dualities and gauge global symmetries to generate an infinite sequence of new dualities. These equate theories with non-Abelian product gauge groups and bifundamental matter. We uncover examples of Bose/Bose and Fermi/Fermi dualities, as well as a sequence of dualities between theories with scalar matter in two-index representations. Our conjectures are consistent with level/rank duality in massive phases.