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Symmetric Chern-Simons-Higgs Vortices

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Abstract

We prove the existence of radially symmetric vortices of the static nonself-dual Chern-Simons-Higgs equations with and without magnetic field in dimension 2. The vortex profiles are shown to be monotonically increasing and bounded. For a given vorticity n, when there is no magnetic field we prove that the n-vortices are stable for n = 0, ±1.

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Authors and Affiliations

  1. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Robin Ming Chen & Daniel Spirn

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  1. Robin Ming Chen
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  2. Daniel Spirn
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Correspondence to Robin Ming Chen.

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Communicated by I. M. Sigal

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Chen, R.M., Spirn, D. Symmetric Chern-Simons-Higgs Vortices. Commun. Math. Phys. 285, 1005–1031 (2009). https://doi.org/10.1007/s00220-008-0655-6

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  • DOI: https://doi.org/10.1007/s00220-008-0655-6

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