Exact results in 3d $\mathcal{N}=2$ $Spin(7)$ gauge theories with vector and spinor matters

Abstract

We study three-dimensional $\mathcal{N}=2$ $Spin(7)$ gauge theories with $N_S$ spinorial matters and with $N_f$ vectorial matters. The quantum Coulomb branch on the moduli space of vacua is one- or two-dimensional depending on the matter contents. For particular values of $(N_f,N_S)$, we find s-confinement phases and derive exact superpotentials. The 3d dynamics of $Spin(7)$ is connected to the 4d dynamics via KK-monopoles. Along the Higgs branch of the $Spin(7)$ theories, we obtain 3d $\mathcal{N}=2$ $G_2$ or $SU(4)$ theories and some of them lead to new s-confinement phases. As a check of our analysis we compute superconformal indices for these theories.

31 pages

References in corpus (4)

• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• Dynamics of 3D SUSY Gauge Theories with Antisymmetric Matter
• Supersymmetric N=1 Spin(10) Gauge Theory with Two Spinors via a-Maximization
• Low-Energy Dynamics of 3d $\mathcal{N}=2$ $G_2$ Supersymmetric Gauge Theory

Cited by in corpus (4)

• Confinement in 3d $\mathcal{N}=2$ $Spin(N)$ gauge theories with vector and spinor matters
• "Chiral'' and "Non-chiral'' 3d Seiberg duality
• 3d Self-Dualities
• 3d s-confinement for three-index matters