Topological multivortex solutions for the Chern–Simons system with two Higgs particles

Zhi You Chen; Jann Long Chern

doi:10.1080/03605302.2015.1132429

Topological multivortex solutions for the Chern–Simons system with two Higgs particles

Zhi You Chen, Jann Long Chern^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we prove the uniqueness of topological multivortex solutions to the self-dual abelian Chern–Simons model if either the Chern–Simons coupling parameter is sufficiently small or sufficiently large. In addition, we also establish the sharp region of the flux for nontopological solutions with a single vortex point.

Original language	English
Pages (from-to)	705-731
Number of pages	27
Journal	Communications in Partial Differential Equations
Volume	41
Issue number	4
DOIs	https://doi.org/10.1080/03605302.2015.1132429
Publication status	Published - 2016 Apr 2
Externally published	Yes

Keywords

Chern-Simons system
Uniqueness
multivortex solution

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/03605302.2015.1132429

Cite this

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abstract = "In this paper, we prove the uniqueness of topological multivortex solutions to the self-dual abelian Chern–Simons model if either the Chern–Simons coupling parameter is sufficiently small or sufficiently large. In addition, we also establish the sharp region of the flux for nontopological solutions with a single vortex point.",

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N2 - In this paper, we prove the uniqueness of topological multivortex solutions to the self-dual abelian Chern–Simons model if either the Chern–Simons coupling parameter is sufficiently small or sufficiently large. In addition, we also establish the sharp region of the flux for nontopological solutions with a single vortex point.

AB - In this paper, we prove the uniqueness of topological multivortex solutions to the self-dual abelian Chern–Simons model if either the Chern–Simons coupling parameter is sufficiently small or sufficiently large. In addition, we also establish the sharp region of the flux for nontopological solutions with a single vortex point.

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KW - Uniqueness

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Topological multivortex solutions for the Chern–Simons system with two Higgs particles

Abstract

Keywords

ASJC Scopus subject areas

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