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

Xi-Guo Lee·Zi-Yu Liu·Yong-Qing Li·Peng-Ming Zhang
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Abstract

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 ϕ-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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Xi-Guo Lee, Zi-Yu Liu, Yong-Qing Li, Peng-Ming Zhang. 2007-01-30. Topological structure of the many vortices solution in Jackiw-Pi model. https://doi.org/10.1142/s0217732308025620

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