Symmetric Chern-Simons-Higgs vortices

Robin Ming Chen; Daniel Spirn

doi:10.1007/s00220-008-0655-6

Symmetric Chern-Simons-Higgs vortices

Robin Ming Chen, Daniel Spirn

Mathematics

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15 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1005-1031
Number of pages	27
Journal	Communications in Mathematical Physics
Volume	285
Issue number	3
DOIs	https://doi.org/10.1007/s00220-008-0655-6
State	Published - Feb 2009

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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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AB - 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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Symmetric Chern-Simons-Higgs vortices

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