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

A bstract We propose an $$ \mathcal{N}=2 $$ 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 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 𝔻 p [SU( N )] theories, we also propose a deconfined version of the Kim-Park duality, an IR duality for 3d $$ \mathcal{N}=2 $$ N = 2 adjoint SQCDs, where an adjoint matter field is replaced by a linear quiver tail of 𝔻 p [SU( N )]. Surprisingly, both the confinement of deformed 𝔻 p [SU( N )] and the deconfined Kim-Park duality can be proven only assuming some basic 3d $$ \mathcal{N}=2 $$ 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.