Non-Abelian $A_4$ vortices in $SO(3)$ gauge theory and non-invertible symmetries

Yoshihiko Abe, Tetsutaro Higaki, Kazuya Murakami +2

We construct finite-tension non-Abelian vortex solutions in a renormalizable $(3+1)$-dimensional $SO(3)$ gauge theory Higgsed to the tetrahedral group $A_4$ by a Higgs field in the…