English

Duality and Confinement in 3d $\mathcal{N}=2$ "chiral" $SU(N)$ gauge theories

High Energy Physics - Theory 2019-02-20 v2

Abstract

We study low-energy dynamics of three-dimensional N=2\mathcal{N}=2 SU(N)SU(N) "chiral" gauge theories with FF fundamental and Fˉ\bar{F} 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" SU(N)SU(N) theories. The theories with N>F>FˉN>F > \bar{F} 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 SU(N)SU(N) and USp(2N~)USp(2 \tilde{N}) theories. For the 3d N=2\mathcal{N}=2 SU(2)SU(2) gauge theory with 2F2F doublets, there are generally F+2F+2 "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