New and Old Fermionic Dualities from 3d Bosonization

TL;DR

This paper develops new fermionic dualities in 2+1 dimensions by extending 3d bosonization, unifying and expanding the duality web, and deriving novel dualities involving adjoint matter.

Contribution

It introduces a new method to generate fermion-fermion dualities from 3d bosonization, including dualities with adjoint matter, and unifies various known dualities.

Findings

Constructed new fermionic dualities using quiver theories.

Derived dualities with adjoint matter via orbifold techniques.

Unified non-Abelian bosonization dualities into a larger web.

Abstract

We construct novel fermion-fermion dualities in $2+1$-dimensions using 3d bosonization dualities. This is achieved by relating two-node quiver theories using both the flavor-bounded and flavor-violated 3d bosonization dualities. Such quivers can be viewed as a generalization of the fermionic particle-vortex duality. A special case of these quivers exhibits a $\mathbb{Z}_2$ symmetry under interchange of the two nodes. Using orbifold techniques, we show that such dualities provide a novel way of deriving known 3d bosonization dualities with adjoint matter, thus unifying the non-Abelian bosonization dualities in an even larger duality web. We then use this construction to derive new dualities involving adjoint matter.