Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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EXISTENCE THEOREM FOR NON-ABELIAN VORTICES IN THE AHARONY-BERGMAN-JAFFERIS-MALDACENA THEORY

  • Zhang, Ruifeng (Institute of Contemporary Mathematics Henan University College of Mathematics and Statistics Henan University) ;
  • Zhu, Meili (Chunlai Senior High School of Chunlai Eduction Group)
  • Received : 2015.12.29
  • Published : 2017.05.31
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Abstract

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.

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References

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