|
Résumé |
I will describe the results of arxiv:1904.09551. In this paper, we study the phases of the $SU(N_1)\times SU(N_2)$ gauge theory with a bi-fundamental fermion in 3+1 dimensions. We combine different limits of the parameter space with constraints that come from anomalies and global inconsistencies to construct a consistent picture for the phase diagram for the entire parameter space. In particular, when $N_1\neq N_2$, different limits lead to distinct topologies of the phase diagram. This necessarily implies nontrivial physics at some intermediate regimes of parameter space. In the large $N_{1,2}$ limit, we argue that the topological transitions are accounted for by a (non-supersymmetric) duality cascade as one varies the parameters of the theory. |
