标题： 规范等价于1+1维Calogero-Moser-Sutherland场论和高秩三角Landau-Lifshitz模型 显示英文标题

标题： Gauge equivalence of 1+1 Calogero-Moser-Sutherland field theory and higher rank trigonometric Landau-Lifshitz model

摘要： 我们考虑由满足关联Yang-Baxter方程的量子 ${\rm gl}_N$-矩阵构造的经典可积1+1维三角型Landau-Lifshitz模型。结果表明，三角Calogero-Moser-Sutherland模型的1+1场类比与由Antonov-Hasegawa-Zabrodin提出的三角非标准 $R$-矩阵得出的Landau-Lifshitz模型在规范变换下等价。后者将Cherednik的7顶点 $R$-矩阵从 $R$ 情况推广到 ${\rm GL}_2$ 情况下的 ${\rm GL}_N$ 情况。两种1+1模型之间的显式变量变换被得到。 显示英文摘要

摘要： We consider the classical integrable 1+1 trigonometric ${\rm gl}_N$ Landau-Lifshitz models constructed by means of quantum $R$-matrices satisfying also the associative Yang-Baxter equation. It is shown that 1+1 field analogue of the trigonometric Calogero-Moser-Sutherland model is gauge equivalent to the Landau-Lifshitz model, which arises from the Antonov-Hasegawa-Zabrodin trigonometric non-standard $R$-matrix. The latter generalizes the Cherednik's 7-vertex $R$-matrix in ${\rm GL}_2$ case to the case of ${\rm GL}_N$. Explicit change of variables between the 1+1 models is obtained.