Existence of radial solutions in the Chern-Simons-Higgs model with its N=2 SUSY extension

Hsin Yuan Huang; Hsien Chung Kao

doi:10.1088/1361-6544/abf33b

Existence of radial solutions in the Chern-Simons-Higgs model with its N=2 SUSY extension

Hsin Yuan Huang^*, Hsien Chung Kao

^*此作品的通信作者

物理學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

In this paper, we study a system of elliptic equations in R2 which arises from the abelian Chern-Simons-Higgs theory and its N=2 SUSY extension. This system is expected to have three types of solutions: topological solutions, mixed type solutions and non-topological solutions. We establish the existence of the radial solutions of these three types.

原文	英語
頁（從 - 到）	3907-3935
頁數	29
期刊	Nonlinearity
卷	34
發行號	6
DOIs	https://doi.org/10.1088/1361-6544/abf33b
出版狀態	已發佈 - 2021 6月

ASJC Scopus subject areas

統計與非線性物理學
數學物理學
一般物理與天文學
應用數學

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10.1088/1361-6544/abf33b

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abstract = "In this paper, we study a system of elliptic equations in R2 which arises from the abelian Chern-Simons-Higgs theory and its N=2 SUSY extension. This system is expected to have three types of solutions: topological solutions, mixed type solutions and non-topological solutions. We establish the existence of the radial solutions of these three types.",

keywords = "Bogomol nyi bound, Chern Simons, selfduality, supersymmetry",

author = "Huang, {Hsin Yuan} and Kao, {Hsien Chung}",

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year = "2021",

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AU - Huang, Hsin Yuan

AU - Kao, Hsien Chung

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N2 - In this paper, we study a system of elliptic equations in R2 which arises from the abelian Chern-Simons-Higgs theory and its N=2 SUSY extension. This system is expected to have three types of solutions: topological solutions, mixed type solutions and non-topological solutions. We establish the existence of the radial solutions of these three types.

AB - In this paper, we study a system of elliptic equations in R2 which arises from the abelian Chern-Simons-Higgs theory and its N=2 SUSY extension. This system is expected to have three types of solutions: topological solutions, mixed type solutions and non-topological solutions. We establish the existence of the radial solutions of these three types.

KW - Bogomol nyi bound

KW - Chern Simons

KW - selfduality

KW - supersymmetry

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Existence of radial solutions in the Chern-Simons-Higgs model with its N=2 SUSY extension

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