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

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.