## Abstract

In the recently discovered (2+1)-dimensional relativistic Chern-Simons model, self-duality can be achieved when the Higgs potential density assumes a special form for which both the asymmetric and symmetric vacua are ground state solutions. This important feature may imply the coexistence of static topological and non-topological vortex-like solutions in R^{2} but the latter have been rather elusive to a rigorous construction. Our main purpose in this paper is to prove the existence of non-topological radially symmetric N-vortex solutions in the self-dual Chern-Simons model. By a shooting method, we obtain a continuous family of gauge-distinct N-vortex solutions. Moreover, we are also able to classify all possible bare (or 0-vortex) solutions.

Original language | English (US) |
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Pages (from-to) | 361-376 |

Number of pages | 16 |

Journal | Communications In Mathematical Physics |

Volume | 149 |

Issue number | 2 |

DOIs | |

State | Published - Oct 1992 |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics