A toolkit for ortho-symplectic dualities

Abstract

Abstract We propose new confining dualities in 3d N $$ \mathcal{N} $$ = 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 ℤ2 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.

Keywords

• Duality in Gauge Field Theories
• Supersymmetric Gauge Theory
• Supersymmetry and Duality
• Discrete Symmetries