Three dimensional Mirrors from IR N-ality

TL;DR

This paper presents a method to explicitly construct three-dimensional mirror theories for a broad class of quiver gauge theories using IR dualities and Abelian operations, simplifying the problem to a more manageable form.

Contribution

It introduces a systematic approach to derive 3d mirror theories for complex quivers involving unitary and special unitary nodes, expanding the toolkit for gauge theory dualities.

Findings

Explicit construction of 3d mirrors for certain quiver gauge theories

Reduction of complex mirror problems to simpler unitary quivers

Demonstration with a linear quiver example

Abstract

We discuss an explicit field theory construction of three dimensional mirrors for a large sub-class of quiver gauge theories involving unitary and special unitary gauge nodes with matter in fundamental and bifundamental representations. For this sub-class of theories, one can deploy a sequence of IR dualities and certain Abelian field theory operations to reduce the aforementioned problem to a problem of finding the 3d mirror of a simpler unitary quiver gauge theory. We illustrate the construction with a linear quiver consisting of unitary and special unitary gauge nodes.