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The existence of generalised self-dual Chern-Simons vortices

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Abstract

We establish the existence and uniqueness of radially symmetric self-dual topological vortices in thep=2 members of the hierarchies of (generalised) Chern-Simons Higgs and Abelian Higgs models. We also obtain all possible symmetric nontopological vortices in the Chern-Simons model characterised by an additional parameter governing the decay rates of the fields.

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Supported in part by CEC under grant HCM-ERBCHRXCT930362.

Supported in part by NSF under grant DMS-9400243.

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Tchrakian, D.H., Yang, Y. The existence of generalised self-dual Chern-Simons vortices. Lett Math Phys 36, 403–413 (1996). https://doi.org/10.1007/BF00714405

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Mathematics Subject Classifications (1991)

  • 81T13
  • 35Q51
  • 34A26

Key words

  • Chern-Simons vortices
  • Abelian Higgs models