On s-confinement in 3d $\mathcal{N}=2$ gauge theories with anti-symmetric tensors

TL;DR

This paper investigates s-confinement phases in 3d $ ext{N}=2$ supersymmetric gauge theories with anti-symmetric tensors, revealing a richer quantum Coulomb moduli space structure compared to 4d cases.

Contribution

It provides a detailed analysis of s-confinement in 3d $ ext{N}=2$ theories with anti-symmetric tensors, emphasizing the role of dressed Coulomb branch operators.

Findings

Identification of s-confinement phases in 3d theories with anti-symmetric tensors.

Elucidation of the quantum structure of Coulomb moduli space.

Highlighting the absence of chiral anomaly constraints in 3d leading to richer phases.

Abstract

We elaborate on s-confinement phases in three-dimensional $\mathcal{N}=2$ supersymmetric gauge theory, especially focusing on the $SU(N)$ and $USp(2N)$ gauge theories with anti-symmetric tensors and (anti-)fundamental matters. This will elucidate a quantum structure of the Coulomb moduli space of vacua. We stress the importance of so-called dressed Coulomb branch operators for describing these s-confinement phases. The 3d s-confinement phases are highly richer than the 4d ones since there is no chiral anomaly constraint on the matter contents.