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20062007200820092010132
Abstract:
The application of a weak integrability concept to the Skyrme and CPnCP^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 CPnCP^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.
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