Deconfinements, Kutasov-Schwimmer dualities and $D_p[SU(N)]$ theories

TL;DR

This paper derives Kutasov-Schwimmer dualities using deconfinement techniques based on Seiberg-like dualities, constructing confining linear quivers that lead to dualities for 3d and 4d supersymmetric theories, and relates them to $D_p[SU(N)]$ SCFTs.

Contribution

The authors develop a novel derivation of KS-like dualities through deconfinement, constructing confining quivers and connecting 3d and 4d theories with $D_p[SU(N)]$ SCFTs.

Findings

Derived KS-like dualities via deconfinement from fundamental matter dualities.

Constructed confining linear quivers with specific gauge groups and matter content.

Established connections between 3d confining quivers and 4d $D_p[SU(N)]$ SCFTs.

Abstract

Kutasov-Schwimmer (KS) dualities involve a rank-$2$ field with a polynomial superpotential. We derive KS-like dualities via deconfinement, that is assuming only Seiberg-like dualities, which instead just involve fundamental matter. Our derivation is split into two main steps. The first step is the construction of two families of linear quivers with $p\!-\!1$ nodes that confine into a rank-$2$ chiral field with degree-$(p\!+\!1)$ superpotential. Such chiral field is an $U(N)$ adjoint in 3d and an $USp(2N)$ antisymmetric in 4d. In the second step we use these linear quivers to derive, via deconfinement, in a relatively straightforward fashion, two classes of KS-like dualities: the Kim-Park duality for $U(N)$ with adjoint in 3d and the Intriligator duality for $USp(2N)$ with antisymmetric in 4d. We also discuss the close relation of our 3d family of confining unitary quivers to the 4d $\mathcal{N}\!=\!2$ $D_p[SU(N)]$ SCFTs by circle compactification and various deformations.