Strong-weak Chern-Simons-matter dualities from a lattice construction

We provide a lattice demonstration of (2+1)-dimensional field theory dualities relating free Dirac or Majorana fermions to strongly-interacting bosonic Chern-Simons-matter theories. Specifically, we prove the recent conjecture that U(N) level-1 with N-f gauged complex Wilson-Fisher scalars (where 1 <= N-f <= N) is dual to N-f Dirac fermions, as well as the analogous conjecture relating SO (N) theories with real Wilson-Fisher scalars to Majorana fermions for 1 <= N-f <= N - 2. Furthermore, we discover new dualities that allow us to explain the interesting phase structure of the SO(N) theories with N - 1 and N scalars, for all N >= 2.