The Dynamics of Chern-Simons Vortices
High Energy Physics - Theory
2009-02-20 v2
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.
Cite
@article{arxiv.0805.0602,
title = {The Dynamics of Chern-Simons Vortices},
author = {Benjamin Collie and David Tong},
journal= {arXiv preprint arXiv:0805.0602},
year = {2009}
}
Comments
24 pages, 3 figures. v2: references added