An exceptionally simple family of Orthosymplectic 3d $\mathcal{N}=4$ rank-0 SCFTs

TL;DR

This paper introduces a family of 3d $ abla=4$ orthosymplectic quiver gauge theories with trivial Higgs branches, exploring their moduli spaces, mirror symmetry, and implications for 4d SCFTs and dualities.

Contribution

It defines a new class of rank-0 orthosymplectic SCFTs with trivial Higgs branches and analyzes their moduli spaces and mirror symmetry properties.

Findings

Coulomb branches factorize into known moduli spaces.

Higgs branches are all trivial for the family.

Implications for 4d $ abla=2$ SCFTs and symplectic duality are discussed.

Abstract

We look at a family of 3d $\mathcal{N}=4$ rank-0 orthosymplectic quiver gauge theories. We define a superconformal field theory (SCFT) to be rank-0 if either the Higgs branch or Coulomb branch is trivial. This family of non-linear orthosymplectic quivers has Coulomb branches that can be factorized into products of known moduli spaces. More importantly, the Higgs branches are all trivial. Consequently, the full moduli space of the smallest member is simply $\mathrm{(one-}F_4 \; \mathrm{instanton}) \times \mathrm{(one-}F_4 \; \mathrm{instanton})$. Although the $3d$ mirror is non-Lagrangian, it can be understood through the gauging of topological symmetries of Lagrangian theories. Since the 3d mirror possesses a trivial Coulomb branch, we discuss some implications for rank-0 4d $\mathcal{N}=2$ SCFTs and symplectic duality.