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LIU Zi-yu, LI Xi-guo, #, ZHANG Peng-ming, LI Yong-qing. Topological Structure of SU(2) ChernSimons Vortices[J]. Nuclear Physics Review, 2007, 24(4): 268-273. DOI: 10.11804/NuclPhysRev.24.04.268
Citation: LIU Zi-yu, LI Xi-guo, #, ZHANG Peng-ming, LI Yong-qing. Topological Structure of SU(2) ChernSimons Vortices[J]. Nuclear Physics Review, 2007, 24(4): 268-273. DOI: 10.11804/NuclPhysRev.24.04.268

Topological Structure of SU(2) ChernSimons Vortices

  • The selfdual equation and its solution in SU(2) DunneJackiwPiTrugenberger model has Been discussed with special ansatz for the Lie algebraic structures of su(2) and gauge potential decomposition. We obtainer a new concrete selfdual equation and found the relationship between SU(2) ChernSimons 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) mvortices solutions are discribed by using 5m parameters. The quantization of flux is also studied in this case.
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