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

• Main Author: Keita Nii
• Format: Article
• Language: English
• Published: SpringerOpen 2018-05-01
• Series: Journal of High Energy Physics
• Subjects: Supersymmetry and Duality; Confinement; Field Theories in Lower Dimensions
• Online Access: http://link.springer.com/article/10.1007/JHEP05(2018)017

Abstract We study three-dimensional N $$ \mathcal{N} $$ = 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 N $$ \mathcal{N} $$ = 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.