A first integration of some knot soliton models

被引：2

作者：

Adam, C. ^{[2
]}

Sanchez-Guillen, J. ^{[2
]}

Wereszczyniski, A. ^{[1
]}

机构：

[1] Jagiellonian Univ, Inst Phys, PL-30059 Krakow, Poland

[2] Univ Santiago, Inst Galego Fis Altas Enerxias, Dept Fis Particulas, E-15782 Santiago De Compostela, Spain

来源：

PHYSICS LETTERS B | 2008年 / 659卷 / 03期

关键词：

Hopf solitons;

D O I：

10.1016/j.physletb.2007.11.089

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Recently it has been shown that there exists a sector within the Faddeev-Niemi model for which the equations of motion may be reduced to first order equations. However, no solutions to that sector have been given. It is not even known whether this sector contains topologically nontrivial solutions, at all. Here, we show that two models with analytically known Hopf solitons, namely the Nicole and the Aratyn-Ferreira-Zimerman models, possess sectors which can be integrated to first order partial differential equations. The main result is that these sectors are topologically nontrivial. In fact, all analytically known hoptions belong to them. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：761 / 767

页数：7

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