Electrically Charged Vortices in Non-Abelian Gauge Theories with Chern-Simons Term

Abstract

It is shown that a non-Abelian gauge theory with Higgs fields and the addition of a Chern-Simons term in 2 + 1 space-time dimensions exhibits finite-energy electrically charged vortex solutions. A novel feature of the vortices is that their electric charge $Q$ is quantized in units of the fundamental charge $e$, $\frac{Q}{e}=\frac{n}{2}$ with $n$ an integer, and their angular momentum is $J=\frac{Q}{2e}=\frac{n}{4}$.