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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title = "Classification of solutions for self-dual Chern-Simons CP (1) model",

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. ",

author = "Chern, {Jann Long} and Chen, {Zhi You} and Shen, {Hung Ying}",

note = "Funding Information: The authors would like to express their gratitude to the anonymous referees for helpful suggestions and comments to improve the exposition of this article. This work was partially supported by the Ministry of Science and Technology of Taiwan under Grant Nos. MOST-107-2115-M-008-005-MY3 and MOST 106-2628-M-018-001-MY4, and the National Center for Theoretical Science (NCTS). Publisher Copyright: {\textcopyright} 2021 Author(s).",

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AU - Chen, Zhi You

AU - Shen, Hung Ying

N1 - Funding Information: The authors would like to express their gratitude to the anonymous referees for helpful suggestions and comments to improve the exposition of this article. This work was partially supported by the Ministry of Science and Technology of Taiwan under Grant Nos. MOST-107-2115-M-008-005-MY3 and MOST 106-2628-M-018-001-MY4, and the National Center for Theoretical Science (NCTS). Publisher Copyright: © 2021 Author(s).

PY - 2021/3/1

Y1 - 2021/3/1

N2 - 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.

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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