### Abstract

We establish the existence and uniqueness of radially symmetric self-dual topological vortices in the p = 2 members of the hierarchies of (generalised) Chern-Simons Higgs and Abelian Higgs models. We also obtain all possible symmetric nontopological vortices in the Chern-Simons model characterised by an additional parameter governing the decay rates of the fields.

Original language | English (US) |
---|---|

Pages (from-to) | 403-413 |

Number of pages | 11 |

Journal | Letters in Mathematical Physics |

Volume | 36 |

Issue number | 4 |

State | Published - 1996 |

### Fingerprint

### Keywords

- Abelian higgs models
- Chern-simons vortices

### ASJC Scopus subject areas

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

### Cite this

*Letters in Mathematical Physics*,

*36*(4), 403-413.

**The Existence of Generalised Self-Dual Chern-Simons Vortices.** / Tchrakian, D. H.; Yang, Yisong.

Research output: Contribution to journal › Article

*Letters in Mathematical Physics*, vol. 36, no. 4, pp. 403-413.

}

TY - JOUR

T1 - The Existence of Generalised Self-Dual Chern-Simons Vortices

AU - Tchrakian, D. H.

AU - Yang, Yisong

PY - 1996

Y1 - 1996

N2 - We establish the existence and uniqueness of radially symmetric self-dual topological vortices in the p = 2 members of the hierarchies of (generalised) Chern-Simons Higgs and Abelian Higgs models. We also obtain all possible symmetric nontopological vortices in the Chern-Simons model characterised by an additional parameter governing the decay rates of the fields.

AB - We establish the existence and uniqueness of radially symmetric self-dual topological vortices in the p = 2 members of the hierarchies of (generalised) Chern-Simons Higgs and Abelian Higgs models. We also obtain all possible symmetric nontopological vortices in the Chern-Simons model characterised by an additional parameter governing the decay rates of the fields.

KW - Abelian higgs models

KW - Chern-simons vortices

UR - http://www.scopus.com/inward/record.url?scp=0038157709&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0038157709&partnerID=8YFLogxK

M3 - Article

VL - 36

SP - 403

EP - 413

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 4

ER -