Classification of solutions for self-dual Chern-Simons CP (1) model

Jann Long Chern; Zhi You Chen; Hung Ying Shen

doi:10.1063/5.0022001

Classification of solutions for self-dual Chern-Simons CP (1) model

Jann Long Chern, Zhi You Chen^*, Hung Ying Shen

^*Corresponding author for this work

Department of Mathematics

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

1 Citation (Scopus)

Abstract

In this paper, we consider the nonlinear equation arising from the Chern-Simons theory of planar matter fields interacting with the Chern-Simons gauge field in a CP(1) invariant fashion. Then, we establish the sharp region of flux for non-topological solutions and prove the classification of solutions of all types in the case of one vortex point. Moreover, we also give the complete result of Theorem 1.3 in the work by Choe et al. [J. Differ. Equations, 255, 2136 (2013)] from Theorem 1.4(ii) as follows.

Original language	English
Article number	031510
Journal	Journal of Mathematical Physics
Volume	62
Issue number	3
DOIs	https://doi.org/10.1063/5.0022001
Publication status	Published - 2021 Mar 1

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/5.0022001

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abstract = "In this paper, we consider the nonlinear equation arising from the Chern-Simons theory of planar matter fields interacting with the Chern-Simons gauge field in a CP(1) invariant fashion. Then, we establish the sharp region of flux for non-topological solutions and prove the classification of solutions of all types in the case of one vortex point. Moreover, we also give the complete result of Theorem 1.3 in the work by Choe et al. [J. Differ. Equations, 255, 2136 (2013)] from Theorem 1.4(ii) as follows.",

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AB - In this paper, we consider the nonlinear equation arising from the Chern-Simons theory of planar matter fields interacting with the Chern-Simons gauge field in a CP(1) invariant fashion. Then, we establish the sharp region of flux for non-topological solutions and prove the classification of solutions of all types in the case of one vortex point. Moreover, we also give the complete result of Theorem 1.3 in the work by Choe et al. [J. Differ. Equations, 255, 2136 (2013)] from Theorem 1.4(ii) as follows.

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Classification of solutions for self-dual Chern-Simons CP (1) model

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