The Dynamics of Chern-Simons Vortices

Abstract

We 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 added

References in corpus (5)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• TASI Lectures on Solitons
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• The Quantum Dynamics of Heterotic Vortex Strings
• Non-Abelian vortices in Chern-Simons theories and their induced effective theory

Cited by in corpus (2)

• Non-Abelian Vortices in SO(N) and USp(N) Gauge Theories
• Non-Abelian Chern-Simons vortices with generic gauge groups