Classification of compactified $su(N_c)$ gauge theories with fermions in all representations

Mohamed M. Anber, Loïc Vincent-Genod

We classify $su(N_c)$ gauge theories on ${\mathbb{R}}^3\times {\mathbb{S}}^1$ with massless fermions in higher representations obeying periodic boundary conditions along ${\mathbb{S}}^1$. I…