Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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 (Department of Mathematics, Seoul National University)
  • Published : 1997.04.01
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Abstract

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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References

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