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arXiv · hep-th/9809149

Submodels of Nonlinear Grassmann Sigma Models in Any Dimension and Conserved Currents, Exact Solutions

Kazuyuki Fujii·Yasushi Homma·Tatsuo Suzuki
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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 ${\bf C}P^1$-model. We next review the Smirnov and Sobolev construction for the equations of ${\bf C}P^1$-submodel and extend the equations, the S-S construction and conserved currents to the higher order ones.

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Kazuyuki Fujii, Yasushi Homma, Tatsuo Suzuki. 1998-11-20. Submodels of Nonlinear Grassmann Sigma Models in Any Dimension and Conserved Currents, Exact Solutions. https://doi.org/10.1142/s0217732399000985

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