Dynamics of Chern-Simons vortices

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 firs...

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Veröffentlicht in:Physical review. D, Particles and fields Particles and fields, 2008-09, Vol.78 (6), Article 065013
Hauptverfasser: Collie, Benjamin, Tong, David
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1550-7998
0556-2821
1550-2368
1089-4918
DOI:10.1103/PhysRevD.78.065013