New Integrable Sectors in Skyrme and 4-dimensional CP^n Model
| dc.creator | Adam, C. | |
| dc.creator | Sanchez-Guillen, J. | |
| dc.creator | Wereszczynski, A. | |
| dc.date | 2006-10-02 | |
| dc.date.accessioned | 2026-07-07T11:27:49Z | |
| dc.date.available | 2026-07-07T11:27:49Z | |
| dc.description | The application of a weak integrability concept to the Skyrme and $CP^n$ models in 4 dimensions is investigated. A new integrable subsystem of the Skyrme model, allowing also for non-holomorphic solutions, is derived. This procedure can be applied to the massive Skyrme model, as well. Moreover, an example of a family of chiral Lagrangians providing exact, finite energy Skyrme-like solitons with arbitrary value of the topological charge, is given. In the case of $CP^n$ models a tower of integrable subsystems is obtained. In particular, in (2+1) dimensions a one-to-one correspondence between the standard integrable submodel and the BPS sector is proved. Additionally, it is shown that weak integrable submodels allow also for non-BPS solutions. Geometric as well as algebraic interpretations of the integrability conditions are also given. | |
| dc.description | 23 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0610024 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0610024 | |
| dc.identifier | J.Phys.A40:1907,2007 | |
| dc.identifier | doi:10.1088/1751-8113/40/8/015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/196256 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | New Integrable Sectors in Skyrme and 4-dimensional CP^n Model | |
| dc.type | text |