A toolkit for ortho-symplectic dualities

TL;DR

This paper introduces new confining dualities in 3d N=2 gauge theories with orthogonal groups, revealing novel global structures and providing tools for deconfinement and duality derivations.

Contribution

It presents new confining dualities involving orthogonal gauge groups, including derivations using gauging and Higgsing, and applications to S-confining dualities and 3d mirror theories.

Findings

New confining dualities for orthogonal gauge groups.

Derivation of S-confining dualities for SO(N) and Sp(N) theories.

Connections to 3d mirror of Argyres-Douglas theories.

Abstract

We propose new confining dualities in $3d$ $\mathcal{N}\!=\!2$ gauge theories with orthogonal gauge groups, with and without monopole superpotentials. Deriving some of those dualities requires a sequence of gauging and Higgsing for a $\mathbb{Z}_2$ symmetry. This prevents the gauge theory from developing a smooth quantum moduli space and affects the global structure of the gauge group, muting it from $SO$ to $O_+$ . The confining dualities provide tools to deconfine fields transforming in the symmetric rank-$2$ representation of classical gauge groups. As an application, we propose and derive S-confining dualities for $SO(N)$ $(Sp(N))$ gauge theories with an adjoint and $1$ $(2)$ fundamentals, respectively. From these S-confining dualities, we readily obtain various duality appetizers and the $3d$ mirror of $A_{2N}$ Argyres-Douglas theories.