New integrable sectors in skyrme and 4-dimensional CP**n model
Oct, 2006
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Abstract:
The application of a weak integrability concept to the Skyrme and 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 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.Note:
- 23 pages
- 11.27.+d
- 12.39.Dc
- 02.30.Ik
- Skyrme model
- effective Lagrangian: chiral
- charge: topological
- CP(N) model
- integrability
- soliton
- field equations: solution
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