Duality walls in the 4d N=2 SU(N) gauge theory with 2N flavours

TL;DR

This paper investigates the structure and dualities of 3d N=2 gauge theories arising from S-duality walls in 4d N=2 SU(N) gauge theories with 2N flavors, introducing new gluing prescriptions and exploring their properties.

Contribution

It proposes a novel method for constructing theories associated with multiple duality walls by gluing basic building blocks, extending the concept of S-fold theories to lower supersymmetry.

Findings

Discovered new dualities between constructed theories.

Presented a prescription for gluing multiple duality wall theories.

Generalized S-fold theory concepts to theories with less supersymmetry.

Abstract

S-duality domain walls are extended objects in supersymmetric gauge theories with several rich physical properties. This paper focuses on 3d N=2 gauge theories associated with S-duality walls in the 4d 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.