2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/220553We study vortex dynamics in three-dimensional theories with Chern-Simons interactions. The dynamics is governed by motion on the moduli space M in the presence of a magnetic field. For Abelian vortices, the magnetic field is shown to be the Ricci form over M; for non-Abelian vortices, it is the first Chern character of a suitable index bundle. We derive these results by integrating out massive fermions and following the fate of their zero modes.24 pages, 3 figures. v2: references addedHigh Energy Physics - Theorytext