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arXiv · 0805.0602

The Dynamics of Chern-Simons Vortices

Benjamin Collie·David Tong
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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.

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Benjamin Collie, David Tong. 2008-05-15. The Dynamics of Chern-Simons Vortices. https://doi.org/10.1103/physrevd.78.065013

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