Infrared spectra of some strongly-coupled chiral gauge theories

Several simple asymptotically free chiral gauge theories are studied. The only “free parameters” of our models are the choice of the gauge group, the matter Weyl fermion representations, and the relative magnitudes of the renormalization-group-invariant scales Λ𝑖 associated with each gauge group. None of our models has nontrivial, nonabelian global symmetries (“family-like” fermion representations). We rely on some recent theoretical developments on the dynamics of strongly coupled chiral gauge theories based on the generalized symmetries and associated new types of anomaly matching consideration, but also on the solid knowledge on vector-like gauge theories such as QCD and supersymmetric Yang-Mills theories. The structures of the infrared effective theories, RG flows, and light spectra found in these models are surprisingly rich and intriguing.