# Abelianization and Sequential Confinement in $2+1$ dimensions

## TL;DR

This paper explores the abelianization of 3D reductions of Argyres-Douglas theories, revealing their IR equivalence to simpler abelian theories and elucidating their mirror duals through monopole duality and sequential confinement.

## Contribution

It provides a physical derivation of the 3D mirror duals of Argyres-Douglas theories using monopole duality and sequential confinement techniques.

## Key findings

- Adjoint SQCD abelianizes in 3D to a linear quiver.
- Mirror dual flows to N=4 SQED with N flavors.
- Results confirm previous proposals for 3D mirror theories.

## Abstract

We consider the lagrangian description of Argyres-Douglas theories of type $A_{2N-1}$, which is a $SU(N)$ gauge theory with an adjoint and one fundamental flavor. An appropriate reformulation allows us to map the moduli space of vacua across the duality, and to dimensionally reduce. Going down to three dimensions, we find that the adjoint SQCD "abelianizes": in the infrared it is equivalent to a $\mathcal{N}=4$ linear quiver theory. Moreover, we study the mirror dual: using a monopole duality to "sequentially confine" quivers tails with balanced nodes, we show that the mirror RG flow lands on $\mathcal{N}=4$ SQED with $N$ flavors. These results provide a physical derivation of previous proposals for the three dimensional mirror of AD theories.