Bosonizing three-dimensional quiver gauge theories

TL;DR

This work develops a systematic method to generate extensive families of non-supersymmetric 3d dualities by starting from seed bosonization dualities and gauging global symmetries to produce quiver gauge theories with bifundamental matter. By applying node-by-node dualization, the authors construct infinite sequences of dualities for products of unitary and special unitary groups, including Bose/Bose and Fermi/Fermi cases and even two-index representations, with consistency checked via global-symmetry matching and level/rank duality in massive phases. The approach yields rich structures in linear and circular quivers and provides concrete examples of how mass deformations map between dual pairs, supporting the validity of the conjectured dualities. The results broaden the web of 3d dualities and point toward further extensions, such as orbifold constructions and extensions to $SO$ and $USp$ sectors, with implications for non-supersymmetric dynamics and potential connections to condensed-mmatter phenomena.

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.