The Dynamics of Chern-Simons Vortices

Details The Dynamics of Chern-Simons Vortices The Dynamics of Chern-Simons Vortices

2008-05-05

arxiv.org/abs/0805.0602v2

Phys.Rev.D78:065013,2008

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 3 figures. v2: references added

Scientific paper

10.1103/PhysRevD.78.065013

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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