arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0912.0073math-phcond-mat.stat-mechhep-thmath.MPnlin.SI
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与超代数相关的可解格模型的T-系统和热力学Bethe方程

T-system and thermodynamic Bethe ansatz equations for solvable lattice models associated with superalgebras

Zengo Tsuboi

摘要:

对李超代数osp(1)进行了一个解析的Bethe分析|2s)。给出了用杨氏(超)图表示的缀饰真空形式(DVF)的转移矩阵的本征值公式。发现DVF之间存在显著的对偶性,提出了一套完整的转移矩阵函数关系(T-系统)作为Hirota-Miwa方程的约化。我们还从这个T-系统和量子转移矩阵方法导出了热力学Bethe Answer(TBA)方程。这个TBA方程与弦假设中的方程完全相同。

英文摘要:

An analytic Bethe ansatz is carried out related to the Lie superalgebra osp(1|2s). We present an eigenvalue formula of a transfer matrix in dressed vacuum form (DVF) labeled by a Young (super) diagram. Remarkable duality among DVFs is found. A complete set of transfer matrix functional relations (T-system) is proposed as a reduction of a Hirota-Miwa equation. We also derive a thermodynamic Bethe ansatz (TBA) equation from this T-system and the quantum transfer matrix method. This TBA equation is identical to the one from the string hypothesis.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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