Villarceau foliated solitons in the two-dimensional O(3) nonlinear sigma model

[摘要] We obtain the complete space of solutions, in the two-dimensional O(3) nonlinear sigma model, which are foliated by Villarceau circles. In particular, we prove the existence of solitons that admit a foliation by nonparallel circles. This contrasts with the Plateau context, where solitons foliated by nonparallel circles cannot exist. These solitons carry topological charges that are holographically computed via the Gauss-Bonnet formula. (c) 2006 Elsevier B.V. All rights reserved.

[发布日期] 2006-12-31

[关键词] O(3) nonlinear sigma model;elastica;boundary value problem;soliton