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Representation of the Zamolodchikov-Faddeev algebra

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Abstract

For quantum completely integrable models with an infinite number of degrees of freedom, such as vector nonlinear Schrödinger equations on the line, isotropic and anisotropic generalized Heisenberg ferromagnets, operators are constructed which satisfy the permutation relations of Zamolodchikov's algebra.

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Authors
  1. P. P. Kulish
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 109, pp. 83–92, 1981.

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Kulish, P.P. Representation of the Zamolodchikov-Faddeev algebra. J Math Sci 24, 208–215 (1984). https://doi.org/10.1007/BF01087242

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