3d Self-dualities

We investigate self-dualities in three-dimensional $N=2$ supersymmetric gauge theories. The electric and magnetic theories share the same gauge group. The examples include $SU\left(2N\right)$, $SO\left(7\right)$ and $SO\left(8\right)$ gauge theories with various matter contents. In some examples, the duality exchanges the role of the baryon and Coulomb branch operators. In other examples, the Coulomb branch operator becomes an elementary field on the dual side. These self-dualities in turn teach us a correct quantum structure of the Coulomb moduli space of vacua. Some dualities exhibit symmetry enhancement.