SEZIONE DI FIRENZE
Sergio Benvenuti (SISSA Trieste)
Quantum field theories with minimal supersymmetry in three dimensions are very much unexplored, especially compared with the case of N=2, 4 or 6 susy. We propose infrared dualities for simple U(N) or SU(N) Chern-Simons-matter theories with N=1 susy. Such dualities map 'critical matter' to 'regular matter', in analogy to 3d bosonization. We then focus on Abelian gauge theories with 2 flavors and find dualities with Gross-Neveu-Yukawa models. The latter models contain no gauge interactions, so they are under much better control, and for instance allow to argue for emergent enhanced global symmetries in the infrared. N=1 gauge theories are a possibly very useful bridge between the well understood N>1 models and the non-supersymmetric theories, that, among other things, describe quantum phase transitions and exotic states of matter.