Functional equations and fusion matrices for the eight vertex model

Functional equations and fusion matrices for the eight vertex model
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八顶点模型的函数方程和融合矩阵

DOI:
10.2977/prims/1145475496
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发表时间:
2003
影响因子:
1.2
通讯作者:
B. McCoy
B. McCoy
中科院分区:
数学3区
文献类型:
--
作者:
K. Fabricius;B. McCoy

文献摘要

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我们推导出的功能方程组的八顶点模型,利用类比的手征波茨模型的功能方程。从这些方程,我们表明,融合矩阵有特殊的减少在某些根的单位。我们明确展示这些减少的3,4和5阶融合矩阵,并比较我们的制定与代数Sklyanin。
We derive sets of functional equations for the eight vertex model by exploiting an analogy with the functional equations of the chiral Potts model. From these equations we show that the fusion matrices have special reductions at certain roots of unity. We explicitly exhibit these reductions for the 3, 4 and 5 order fusion matrices and compare our formulation with the algebra of Sklyanin.