• 제목/요약/키워드: Chern-Simons vortex equation

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EXISTENCE THEOREM FOR NON-ABELIAN VORTICES IN THE AHARONY-BERGMAN-JAFFERIS-MALDACENA THEORY

  • Zhang, Ruifeng;Zhu, Meili
    • 대한수학회보
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    • 제54권3호
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    • pp.737-746
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    • 2017
  • In this paper, we discuss the existence theorem for multiple vortex solutions in the non-Abelian Chern-Simons-Higgs field theory developed by Aharony, Bergman, Jafferis, and Maldacena, on a doubly periodic domain. The governing equations are of the BPS type and derived by Auzzi and Kumar in the mass-deformed framework labeled by a continuous parameter. Our method is based on fixed point method.