A classification of semilocal vortices in a Chern-Simons theory

Jann Long Chern; Zhi You Chen; Sze Guang Yang

doi:10.1016/j.anihpc.2014.11.007

A classification of semilocal vortices in a Chern-Simons theory

Jann Long Chern^*, Zhi You Chen, Sze Guang Yang

^*Corresponding author for this work

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

Abstract

We consider a Chern-Simons theory of planar matter fields interacting with the Chern.Simons gauge field in a SU(N)_global ⊗ U(1)_local invariant fashion. We classify the radially symmetric soliton solutions of the system in terms of the prescribed value of magnetic flux associated with this model. We also prove the uniqueness of the topological solution in a certain condition.

Original language	English
Pages (from-to)	575-595
Number of pages	21
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	33
Issue number	2
DOIs	https://doi.org/10.1016/j.anihpc.2014.11.007
Publication status	Published - 2016 Mar 1
Externally published	Yes

Keywords

Chern-Simons-Higgs model
Classification of nontopological solutions for elliptic system
Uniqueness result of topological solutions

ASJC Scopus subject areas

Analysis
Mathematical Physics
Applied Mathematics

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10.1016/j.anihpc.2014.11.007

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title = "A classification of semilocal vortices in a Chern-Simons theory",

abstract = "We consider a Chern-Simons theory of planar matter fields interacting with the Chern.Simons gauge field in a SU(N)global ⊗ U(1)local invariant fashion. We classify the radially symmetric soliton solutions of the system in terms of the prescribed value of magnetic flux associated with this model. We also prove the uniqueness of the topological solution in a certain condition.",

keywords = "Chern-Simons-Higgs model, Classification of nontopological solutions for elliptic system, Uniqueness result of topological solutions",

author = "Chern, {Jann Long} and Chen, {Zhi You} and Yang, {Sze Guang}",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Masson SAS.",

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doi = "10.1016/j.anihpc.2014.11.007",

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T1 - A classification of semilocal vortices in a Chern-Simons theory

AU - Chern, Jann Long

AU - Chen, Zhi You

AU - Yang, Sze Guang

PY - 2016/3/1

Y1 - 2016/3/1

N2 - We consider a Chern-Simons theory of planar matter fields interacting with the Chern.Simons gauge field in a SU(N)global ⊗ U(1)local invariant fashion. We classify the radially symmetric soliton solutions of the system in terms of the prescribed value of magnetic flux associated with this model. We also prove the uniqueness of the topological solution in a certain condition.

AB - We consider a Chern-Simons theory of planar matter fields interacting with the Chern.Simons gauge field in a SU(N)global ⊗ U(1)local invariant fashion. We classify the radially symmetric soliton solutions of the system in terms of the prescribed value of magnetic flux associated with this model. We also prove the uniqueness of the topological solution in a certain condition.

KW - Chern-Simons-Higgs model

KW - Classification of nontopological solutions for elliptic system

KW - Uniqueness result of topological solutions

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DO - 10.1016/j.anihpc.2014.11.007

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SN - 0294-1449

VL - 33

SP - 575

EP - 595

JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

IS - 2

ER -

A classification of semilocal vortices in a Chern-Simons theory

Abstract

Keywords

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