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Multivortex solutions of the abelian Chern-Simons-Higgs theory. (English) Zbl 1014.58500
Summary: We have examined vortex solutions in (2+1)D Chern-Simons-Higgs theory which has no usual Maxwell term. It is shown that the Bogomol’nyi-type equations can be derived for a simple sixth-order Higgs potential and corresponding general n-vortex solutions should contain 2n free parameters. Various characteristics of Chern-Simons vortices are discussed briefly.

MSC:
58E50Applications of variational methods in infinite-dimensional spaces
35Q60PDEs in connection with optics and electromagnetic theory
58E05Abstract critical point theory
81T13Yang-Mills and other gauge theories