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 |
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Hauptverfasser: | , |
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. |
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ISSN: | 1550-7998 0556-2821 1550-2368 1089-4918 |
DOI: | 10.1103/PhysRevD.78.065013 |