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Algebraic properties of the 1+1 dimensional Heisenberg spin field model

E. Alfinito·M. Leo·R. A. Leo·M. Palese·G. Soliani
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Abstract

The Estabrook-Wahlquist prolongation method is applied to the (compact and noncompact) continuous isotropic Heisenberg model in 1 + 1 dimensions. Using a special realization (an algebra of the Kac-Moody type) of the arising incomplete prolongation Lie algebra, a whole family of nonlinear field equations containing the original Heisenberg system is generated.

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E. Alfinito, M. Leo, R. A. Leo, M. Palese, G. Soliani. 1996-04-17. Algebraic properties of the 1+1 dimensional Heisenberg spin field model. https://doi.org/10.1007/bf00750666

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