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We study three-dimensional $\mathcal{N}=2$ $Spin(7)$ gauge theories with$N_S$ spinorial matters and with $N_f$ vectorial matters. The quantum Coulombbranch on the moduli space of vacua is one- or two-dimensional depending on thematter contents. For particular values of $(N_f,N_S)$, we find s-confinementphases and derive exact superpotentials. The 3d dynamics of $Spin(7)$ isconnected 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 andsome of them lead to new s-confinement phases. As a check of our analysis wecompute superconformal indices for these theories.

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