Monopole Quivers and new 3D N=2 dualities

TL;DR

This paper introduces a new class of three-dimensional N=2 gauge theory dualities called monopole quivers, extending known dualities by including monopole interactions in quiver gauge theories, and confirms them through partition function checks.

Contribution

It generalizes Aharony duality to monopole quivers with monopole superpotential interactions, supported by partition function equivalences.

Findings

New dualities for 3D N=2 gauge theories established.

Partition functions of dual theories are shown to match.

Special cases recover known dualities.

Abstract

We present a new family of dualities for three-dimensional gauge theories, motivated by the brane realization of the reduction of four-dimensional dualities on a circle. This family can be understood as a generalization of Aharony duality to quiver gauge theories whose nodes interact via monopole terms in the superpotential. We refer to this family of theories as monopole quivers. We corroborate the new dualities by checking the equivalence of the three-sphere partition functions, obtained from the standard circle reduction of the four-dimensional superconformal index. As a special case, we recover some dualities recently discussed in the literature.}