Gauge equivalence of Calogero–Moser–Sutherland field theory and a higher-rank trigonometric Landau–Lifshitz model.

We consider the classical integrable trigonometric Landau–Lifshitz models constructed by means of quantum -matrices that also satisfy the associative Yang–Baxter equation. It is shown that a field analogue of the trigonometric Calogero–Moser–Sutherland model is gauge equivalent to the Landau–Lifshitz model that arises from the Antonov–Hasegawa–Zabrodin trigonometric nonstandard -matrix. The latter generalizes Cherednik's -vertex -matrix in the case to the case of . An explicit change of variables between the models is obtained. [ABSTRACT FROM AUTHOR]