论文标题

QQ系统和Weyl型转移矩阵(2R)旋转链中

QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains

论文作者

Ferrando, Gwenaël, Frassek, Rouven, Kazakov, Vladimir

论文摘要

我们建议使用$ d_r $ lie代数的对称性的可集成旋转链的Baxter Q-功能(QQ-System)的完整系统。我们使用此QQ系统来通过$ r+1 $基本Q-函数来得出所有对称和反对称(基本)表示中的转移矩阵的新的Weyl型公式。我们的功能关系与其中一位作者最近提出的Q操作器一致,并在较小的有限长度下明确验证了操作员级别。

We propose the full system of Baxter Q-functions (QQ-system) for the integrable spin chains with the symmetry of the $D_r$ Lie algebra. We use this QQ-system to derive new Weyl-type formulas expressing transfer matrices in all symmetric and antisymmetric (fundamental) representations through $r+1$ basic Q-functions. Our functional relations are consistent with the Q-operators proposed recently by one of the authors and verified explicitly on the level of operators at small finite length.

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