### Abstract

In the recently discovered Chern-Simons model, the reduction to a Bogomol'nyi bound or self-duality depends crucially on the specific form of the Higgs potential energy function, which is characterized by a φ^{6} type self-interaction. The purpose of this paper is to show that a much wider class of Higgs self-interaction may be allowed to achieve self-duality provided that the kinetic energy term of the Higgs scalar is suitably modified. The existence of topological multivortex solutions is also established. Furthermore, it is remarked that the Meissner effect may occur in the model.

Original language | English (US) |
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Pages (from-to) | 179-191 |

Number of pages | 13 |

Journal | Letters in Mathematical Physics |

Volume | 23 |

Issue number | 3 |

DOIs | |

State | Published - Nov 1991 |

### Fingerprint

### Keywords

- AMS subject classifications (1991): 81T13, 35Q51, 34A26

### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Mathematical Physics

### Cite this

**A generalized self-dual Chern-Simons Higgs theory.** / Yang, Yisong.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 23, no. 3, pp. 179-191. https://doi.org/10.1007/BF01885496

}

TY - JOUR

T1 - A generalized self-dual Chern-Simons Higgs theory

AU - Yang, Yisong

PY - 1991/11

Y1 - 1991/11

N2 - In the recently discovered Chern-Simons model, the reduction to a Bogomol'nyi bound or self-duality depends crucially on the specific form of the Higgs potential energy function, which is characterized by a φ6 type self-interaction. The purpose of this paper is to show that a much wider class of Higgs self-interaction may be allowed to achieve self-duality provided that the kinetic energy term of the Higgs scalar is suitably modified. The existence of topological multivortex solutions is also established. Furthermore, it is remarked that the Meissner effect may occur in the model.

AB - In the recently discovered Chern-Simons model, the reduction to a Bogomol'nyi bound or self-duality depends crucially on the specific form of the Higgs potential energy function, which is characterized by a φ6 type self-interaction. The purpose of this paper is to show that a much wider class of Higgs self-interaction may be allowed to achieve self-duality provided that the kinetic energy term of the Higgs scalar is suitably modified. The existence of topological multivortex solutions is also established. Furthermore, it is remarked that the Meissner effect may occur in the model.

KW - AMS subject classifications (1991): 81T13, 35Q51, 34A26

UR - http://www.scopus.com/inward/record.url?scp=33747134204&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33747134204&partnerID=8YFLogxK

U2 - 10.1007/BF01885496

DO - 10.1007/BF01885496

M3 - Article

AN - SCOPUS:33747134204

VL - 23

SP - 179

EP - 191

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 3

ER -