Duality and Confinement in 3d $\mathcal{N}=2$ "chiral" $SU(N)$ gauge theories
Abstract
We study low-energy dynamics of three-dimensional "chiral" gauge theories with fundamental and anti-fundamental matters without a Chern-Simons term. Compared to a naive semi-classical analysis of the Coulomb branch, its quantum structure is highly richer than expected due to so-called "dressed" Coulomb branch (monopole) operators. We propose dualities and confinement phases for the "chiral" theories. The theories with exhibit spontaneous supersymmetry breaking. The very many Coulomb branch operators generally remain exactly massless and are non-trivially mapped under the dualities. Some dualities lead to a novel duality between and theories. For the 3d gauge theory with doublets, there are generally "chiral" and "non-chiral" dual descriptions.
Keywords
Cite
@article{arxiv.1809.10757,
title = {Duality and Confinement in 3d $\mathcal{N}=2$ "chiral" $SU(N)$ gauge theories},
author = {Keita Nii},
journal= {arXiv preprint arXiv:1809.10757},
year = {2019}
}
Comments
Appendix added, discussions added, references added