Low-energy dynamics of 3d N $$ \mathcal{N} $$ = 2 G 2 supersymmetric gauge theory

• Main Authors: Keita Nii, Yuta Sekiguchi
• Format: Article
• Language: English
• Published: SpringerOpen 2018-02-01
• Series: Journal of High Energy Physics
• Subjects: Confinement; Supersymmetric Gauge Theory; Supersymmetry and Duality; Duality in Gauge Field Theories
• Online Access: http://link.springer.com/article/10.1007/JHEP02(2018)158

Abstract We study a three-dimensional N $$ \mathcal{N} $$ = 2 supersymmetric G 2 gauge theory with and without fundamental matters. We find that a classical Coulomb branch of the moduli space of vacua is partly lifted by monopole-instantons and the quantum Coulomb moduli space would be described by a complex one-dimensional space. Depending on the number of the matters in a fundamental representation, the low-energy dynamics of the theory shows various phases like s-confinement or quantum merging of the Coulomb and the Higgs branches. We also investigate superconformal indices as an independent check of our analysis.