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arXiv · 1612.09124

Gauge Equivalence, Supersymmetry and Classical Solutions of the ospu($1, 1/1$) Heisenberg Model and the Nonlinear Schr\"odinger Equation

V. G. Makhankov·R. Myrzakulov·O. K. Pashaev
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Abstract

An integrable generalization of the continuous classical O$(2,1)$ pseudospin Heisenberg model to the case of the ospu$(1,1/1)$ superalgebra is constructed. The gauge equivalence of the constructed model and the related NLSE is established. We indicate a method of generating classical solutions using the global ospu$(1,1/1)$ supersymmetry. The relationship between solutions of O$(2,1)$ HM and 'superpartners' of NLSE is obtained.

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V. G. Makhankov, R. Myrzakulov, O. K. Pashaev. 2016-12-27. Gauge Equivalence, Supersymmetry and Classical Solutions of the ospu($1, 1/1$) Heisenberg Model and the Nonlinear Schr\"odinger Equation. https://arxiv.org/abs/1612.09124

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