ICTS

We review recent developments in the understanding of massive phases of Chern-Simons theories coupled to vector-like matter. In particular, we discuss the recent computation of the large N free energy in the Higgsed phase of Chern-Simons gauged Wilson-Fisher bosons and its mapping to the free energy of Chern-Simons gauged regular fermions under Bose-Fermi duality. This result can be used to obtain a large N exact Landau-Ginzburg potential for Chern-Simons gauged regular bosons. It can be verified that it matches a similar LG potential for Chern-Simons gauged Gross-Neveu fermions under Bose-Fermi duality.  We further extend our computations to the {\cal 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. If time permits, we will also comment on the nature of the Z boson that is present in the classical spectrum in the Higgsed phase of the above bosonic theories and its behaviour under Bose-Fermi duality.