Duality walls in the 4d $$ \mathcal{N} $$ = 2 SU(N) gauge theory with 2N flavours

Abstract S-duality domain walls are extended objects in supersymmetric gauge theories with several rich physical properties. This paper focuses on 3d $$ \mathcal{N} $$ N = 2 gauge theories associated with S-duality walls in the 4d $$ \mathcal{N} $$ N = 2 SU(N ) gauge theory with 2N flavours. The theories associated with multiple duality walls are constructed by gluing together a basic building block, which is the theory associated with a single duality wall. We propose the prescription for gluing many copies of such a basic building block together as well as present the prescription for self-gluing. A number of dualities between such theories are discovered and studied using the supersymmetric index. This work generalises the notion of the S-fold theory, which has been so far studied extensively in the context of duality walls in the 4d super-Yang-Mills theory, to the theory with lower amounts of supersymmetry.