3d $\mathcal{N}=4$ mirror symmetry with 1-form symmetry

TL;DR

This paper explores how gauging discrete symmetries in 3d $\\mathcal{N}=4$ mirror pairs leads to new theories with non-trivial 1-form symmetry, providing explicit quiver descriptions and symmetry mappings.

Contribution

It introduces a method to generate new 3d mirror pairs with 1-form symmetry by gauging discrete subgroups, expanding the understanding of symmetries in these theories.

Findings

Constructed new mirror pairs with non-trivial 1-form symmetry

Provided explicit quiver descriptions and symmetry maps

Enhanced understanding of 0-form, 1-form, and 2-group symmetries

Abstract

The study of 3d mirror symmetry has greatly enhanced our understanding of various aspects of 3d $\mathcal{N}=4$ theories. In this paper, starting with known mirror pairs of 3d $\mathcal{N}=4$ quiver gauge theories and gauging discrete subgroups of the flavour or topological symmetry, we construct new mirror pairs with non-trivial 1-form symmetry. By providing explicit quiver descriptions of these theories, we thoroughly specify their symmetries (0-form, 1-form, and 2-group) and the mirror maps between them.