S-confinement of 3d Argyres-Douglas theories and the Seiberg-like duality with an adjoint matter

TL;DR

This paper explores the confining phases of 3d Argyres-Douglas theories with monopole superpotentials and introduces a novel duality involving deconfined adjoint matter, supported by IR duality assumptions.

Contribution

It proposes a new confining deformation for 3d Argyres-Douglas theories and a deconfined version of the Kim-Park duality involving linear quiver tails.

Findings

Confinement of 3d $ ext{D}_p[ ext{SU}(N)]$ theories demonstrated.

A deconfined duality for 3d $ ext{N}=2$ adjoint SQCD proposed.

Dualities proven assuming basic 3d $ ext{N}=2$ IR dualities.

Abstract

We propose an $\mathcal{N}=2$ preserving deformation that leads to the confining phase of the 3d reduction of the $D_p[SU(N)]$ Argyres-Douglas theories, referred to as $\mathbb{D}_p[SU(N)]$. This deformation incorporates monopole superpotential terms, which have recently played interesting roles in exploring possible RG fixed points of 3d supersymmetric gauge theories. Employing this confining phenomenon in 3d $\mathbb{D}_p[SU(N)]$ theories, we also propose a deconfined version of the Kim-Park duality, an IR duality for 3d $\mathcal{N}=2$ adjoint SQCDs, where an adjoint matter field is replaced by a linear quiver tail of $\mathbb{D}_p[SU(N)]$. Surprisingly, both the confinement of deformed $\mathbb{D}_p[SU(N)]$ and the deconfined Kim-Park duality can be proven only assuming some basic 3d $\mathcal{N}=2$ IR dualities. Finally, we propose a variant of the Kim-Park duality deformed by a single monopole superpotential term, which can also be derived using the same method.