• 제목/요약/키워드: multivortex solution

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EXISTENCE OF A MULTIVORTEX SOLUTION FOR ${SU(N)_g}{\times}U(1)_l$ CHERN-SIMONS MODEL IN ${R^2}/{Z^2}$

  • Yoon, Jai-Han
    • 대한수학회논문집
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    • 제12권2호
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    • pp.305-309
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    • 1997
  • In this paper we prove the existence of a special type of multivortex solutions of $SU (N)_g \times U(1)_l$ Chern-Simons model. More specifically we prove existence of solutions of the self-duality equations for $(\Phi(x), j =1, \cdots, N$ has the same zeroes. In this case we find that the equation can be reduced to the single semilinear elliptic partial differential equations studied by Caffarelli and Yang.

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