#### Alladi Ramakrishnan Hall

#### Large N exact Landau-Ginzburg potentials for Chern-Simons theories coupled to fundamental matter

#### Naveen Prabhakar

##### TIFR, Mumbai

*Recently, the large N free energy in the Higgsed phase of Chern-Simons gauged Wilson-Fisher bosons was computed and was explicitly verified to match the corresponding free energy of Chern-Simons gauged regular fermions under Bose-Fermi duality, Utilizing these free energy computations we write a large N exact Landau-Ginzburg potential for Chern-Simons gauged regular bosons and verify that it matches a similar potential for Chern-Simons gauged Gross-Neveu fermions under Bose-Fermi duality. We further extend our computations to obtain a Landau-Ginzburg potential for N = 2 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 second order phase transition lines meet where the conformal dynamics is believed to be governed by a Chern-Simons theory coupled to both a Wilson-Fisher boson and a regular fermion.*

Done