Aspects of N = 2 supersymmetric gauge theories in three dimensions

Abstract We consider general aspects of N = 2 gauge theories in three dimensions, including their multiplet structure, anomalies and non-renormalization theorems. For U (1) gauge theories, we discuss the quantum corrections to the moduli space, and their relation to “mirror symmetries” of 3d N = 4 theories. Mirror symmetry is given an interpretation in terms of vortices. For SU ( N c ) gauge groups with N f fundamental flavors, we show that, depending on the number of flavors, there are quantum moduli spaces of vacua with various phenomena near the origin.