Topological structure of the many vortices solution in Jackiw-Pi model

Details Topological structure of the many vortices solution in Jackiw-Pi model Topological structure of the many vortices solution in Jackiw-Pi model

2006-10-12

arxiv.org/abs/hep-th/0610142v2

Mod.Phys.Lett.A23:1055-1066,2008

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 4 figures

Scientific paper

10.1142/S0217732308025620

We construct an M-solitons solutions in Jackiw-Pi model depends on 5M parameters(two positions, one scale, one phase per solition and one charge of each solution). By using \phi -mapping method, we discuss the topological structure of the self-duality solution in Jackiw-Pi model in terms of gauge potential decomposition. We set up relationship between Chern-Simons vortices solution and topological number which is determined by Hopf indices and and Brouwer degrees. We also give the quantization of flux in this case.

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