论文标题

高斯协调与经典类型的Yangian双打的电流

Gauss Coordinates vs Currents for the Yangian Doubles of the Classical Types

论文作者

Liashyk, Andrii, Pakuliak, Stanislav Z.

论文摘要

我们考虑$ t $ operators的高斯坐标与对应于代数$ \ mathfrak {g} $ $ a $ a $,$ b $,$ c $,$ c $和$ d $系列以及这些代数的当前生成器的经典类型的Yangian双打和这些代数的当前生成器。这些关系对于与$ \ mathfrak {g} $相关的量子集成模型中的应用很重要 - 不变$ r $ $ - matrices和bethe vectors在这些模型中的构建。

We consider relations between Gauss coordinates of $T$-operators for the Yangian doubles of the classical types corresponding to the algebras $\mathfrak{g}$ of $A$, $B$, $C$ and $D$ series and the current generators of these algebras. These relations are important for the applications in the quantum integrable models related to $\mathfrak{g}$-invariant $R$-matrices and construction of the Bethe vectors in these models.

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