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

Department of Mathematics

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

All Science Journal Classification (ASJC) codes

Analysis
Mathematical Physics
Applied Mathematics

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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.",

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

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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.

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JO - Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis

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