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

^*Corresponding author for this work

Department of Physics

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

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.

Original language	English
Pages (from-to)	3907-3935
Number of pages	29
Journal	Nonlinearity
Volume	34
Issue number	6
DOIs	https://doi.org/10.1088/1361-6544/abf33b
Publication status	Published - 2021 Jun

Keywords

Bogomol nyi bound
Chern Simons
selfduality
supersymmetry

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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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}",

note = "Publisher Copyright: {\textcopyright} 2021 IOP Publishing Ltd & London Mathematical Society.",

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

Abstract

Keywords

ASJC Scopus subject areas

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