Abstract
One investigates the structure of the string solutions of a Heisenberg XXZ model of arbitrary spin. It is discovered that there exist values of the spin for which there exist values of the spin for which there arise constraints on the disposition of the centers of certain string solutions. One finds a class of spins, commensurable in a definite manner with the anisotropy parameter, for which such constraints do not arise. One gives a hypothetical formulation of the classification of the string solutions over a ferromagnetic vacuum in the general case.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 146, pp. 31–36, 1985.
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Kirillov, A.N., Reshetikhin, N.Y. Classification of the string solutions of Bethe equations in an XXZ model of arbitrary spin. J Math Sci 40, 22–35 (1988). https://doi.org/10.1007/BF01084937
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DOI: https://doi.org/10.1007/BF01084937