Emergent Global Symmetry from IR N-ality

TL;DR

This paper introduces a new class of IR dualities in 3d supersymmetric gauge theories, revealing emergent global symmetries and a sequence of quiver mutations leading to IR N-ality, where multiple UV theories flow to the same IR fixed point.

Contribution

It presents a novel family of IR dualities in 3d with eight supercharges, demonstrating emergent Coulomb branch symmetries and the concept of IR N-ality through quiver mutations.

Findings

Dualities map Coulomb to Coulomb and Higgs to Higgs branches.

Existence of a theory with manifest IR Coulomb branch symmetry.

Emergent symmetry algebra can be identified from the quiver in special cases.

Abstract

We present a new family of IR dualities in three space-time dimensions with eight supercharges. In contrast to 3d mirror symmetry, these dualities map Coulomb branches to Coulomb branches and Higgs branches to Higgs branches in the deep IR. For a large class of quiver gauge theories with an emergent Coulomb branch global symmetry, one can construct a sequence of such dualities by step-wise implementing a set of quiver mutations. The duality sequence gives a set of quiver gauge theories which flow to the same IR fixed point - a phenomenon we refer to as IR N-ality. We show that this set of N-al quivers always contains a theory for which the rank of the IR Coulomb branch symmetry is manifest in the UV. For a special subclass of theories, the emergent symmetry algebra itself can be read off from the quiver description of the aforementioned theory.