### Abstract

We present topological and nontopological self-dual soliton solutions in an O(2) gauged O(3) σ model on R_{2} with Chern-Simons rather than Maxwell dynamics. These solutions are not vortices in the usual sense in that the magnetic flux is irrelevant to the stability of the topological solitons, which are stabilized by the degree N, but it plays a crucial role in the stabilization of the nontopological solitons. It turns out that topological and nontopological solitons of arbitrary vorticity N exist. We have studied both types of vortices with N = 1 and N = 2, and the nontopological soliton with N=0 numerically. We present analytic proofs for the existence of these topological and nontopological solitons. The qualitative features of the gauged O(3) solitons are contrasted with those of the gauged CP^{1} solitons.

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

Pages (from-to) | 5245-5258 |

Number of pages | 14 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 54 |

Issue number | 8 |

State | Published - Oct 15 1996 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Nuclear and High Energy Physics

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*54*(8), 5245-5258.

**Topological and nontopological self-dual Chern-Simons solitons in a gauged O(3) σ model.** / Arthur, K.; Tchrakian, D. H.; Yang, Yisong.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 54, no. 8, pp. 5245-5258.

}

TY - JOUR

T1 - Topological and nontopological self-dual Chern-Simons solitons in a gauged O(3) σ model

AU - Arthur, K.

AU - Tchrakian, D. H.

AU - Yang, Yisong

PY - 1996/10/15

Y1 - 1996/10/15

N2 - We present topological and nontopological self-dual soliton solutions in an O(2) gauged O(3) σ model on R2 with Chern-Simons rather than Maxwell dynamics. These solutions are not vortices in the usual sense in that the magnetic flux is irrelevant to the stability of the topological solitons, which are stabilized by the degree N, but it plays a crucial role in the stabilization of the nontopological solitons. It turns out that topological and nontopological solitons of arbitrary vorticity N exist. We have studied both types of vortices with N = 1 and N = 2, and the nontopological soliton with N=0 numerically. We present analytic proofs for the existence of these topological and nontopological solitons. The qualitative features of the gauged O(3) solitons are contrasted with those of the gauged CP1 solitons.

AB - We present topological and nontopological self-dual soliton solutions in an O(2) gauged O(3) σ model on R2 with Chern-Simons rather than Maxwell dynamics. These solutions are not vortices in the usual sense in that the magnetic flux is irrelevant to the stability of the topological solitons, which are stabilized by the degree N, but it plays a crucial role in the stabilization of the nontopological solitons. It turns out that topological and nontopological solitons of arbitrary vorticity N exist. We have studied both types of vortices with N = 1 and N = 2, and the nontopological soliton with N=0 numerically. We present analytic proofs for the existence of these topological and nontopological solitons. The qualitative features of the gauged O(3) solitons are contrasted with those of the gauged CP1 solitons.

UR - http://www.scopus.com/inward/record.url?scp=0000346841&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000346841&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0000346841

VL - 54

SP - 5245

EP - 5258

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 8

ER -