Recent developments in Chern-Simons-matter theories

We review recent developments in the understanding of massive phases of Chern-Simons theories coupled to vector-like matter and their behaviour under Bose-Fermi duality. In particular, we discuss the recent computation of the large N free energy in the Higgsed phase of Chern-Simons gauged Wilson-Fisher scalars and its mapping to the free energy of Chern-Simons gauged regular fermions under Bose-Fermi duality. We further extend our computations to the  N = 2 supersymmetric Chern-Simons theory coupled to one fundamental chiral multiplet and study the phase diagram of this theory at zero temperature. The phase diagram shows rich features, including points where two second order phase transition lines meet.