Submodels of nonlinear Grassmann sigma models in any dimension and conserved currents, exact solutions
Sep, 1998Citations per year
Abstract:
In the preceding paper(hep-th/9806084), we constructed submodels of nonlinear Grassmann sigma models in any dimension and, moreover, an infinite number of conserved currents and a wide class of exact solutions. In this paper, we first construct almost all conserved currents for the submodels and all ones for the one of -model. We next review the Smirnov and Sobolev construction for the equations of -submodel and extend the equations, the S-S construction and conserved currents to the higher order ones.Note:
- 13 pages, AMSLaTex; an new section and an appendix added
- sigma model: nonlinear
- algebra: Grassmann
- any-dimensional
- current: conservation law
- field theoretical model: CP(1)
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