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

A bstract 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(2 N ) 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(2 N ) with antisymmetric in 4d. We also discuss the close relation of our 3d family of confining unitary quivers to the 4d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 D p [SU( N )] SCFTs by circle compactification and various deformations.