Topological Structure of SU(2) ChernSimons Vortices
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Graphical Abstract
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Abstract
The selfdual equation and its solution in SU(2) DunneJackiwPiTrugenberger model has Been discussed with special ansatz for the Lie algebraic structures of su(2) and gauge potential decomposition. We obtainer a new concrete selfdual equation and found the relationship between SU(2) ChernSimons vortices and topological number which is determined by Hopf indices and Brouwer degrees of mapping. (two positions, one scale, one phase per vortex and one charge of each vortex) mvortices solutions are discribed by using 5m parameters. The quantization of flux is also studied in this case.
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