Confinement in 3d $\mathcal{N}=2$ exceptional gauge theories

TL;DR

This paper investigates the confinement phenomena and Coulomb branch structure in 3d $ ext{N}=2$ exceptional gauge theories with fundamental matter, revealing a single Coulomb branch and quantum-deformed moduli spaces linked to 4d theories.

Contribution

It provides new insights into the confinement phases and Coulomb branch quantum structure of 3d $ ext{N}=2$ exceptional gauge theories, connecting them to 4d $ ext{N}=1$ theories.

Findings

Confinement phases have a single Coulomb branch.

3d s-confinement phases correspond to quantum-deformed moduli spaces.

Results extend understanding of exceptional gauge theories in lower dimensions.

Abstract

We study the low-energy dynamics in three-dimensional $\mathcal{N}=2$ exceptional gauge theories with matters in a fundamental representation, especially focusing on confinement phases and on a quantum structure of the Coulomb branch in the moduli space of vacua. We argue that the confinement phases of these exceptional gauge theories have a single Coulomb branch. The 3d s-confinement phases for the exceptional gauge groups are associated with quantum-deformed moduli spaces of the corresponding 4d $\mathcal{N}=1$ exceptional gauge theories.