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

Autor:	Atalikov, K. R., Zotov, A. V.
Předmět:	YANG-Baxter equation LANDAU-lifshitz equation TRIGONOMETRIC functions GAGES
Zdroj:	Theoretical & Mathematical Physics; Jun2024, Vol. 219 Issue 3, p1004-1017, 14p
Abstrakt:	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]
Databáze:	Complementary Index
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