The Onsager algebra symmetry of τ(j)-matrices in the superintegrable chiral Potts model -: art. no. P09007

被引:10
|
作者
Roan, SS [1 ]
机构
[1] Acad Sinica, Inst Math, Taipei, Taiwan
关键词
algebraic structures of integrable models; rigorous results in statistical mechanics; solvable lattice models; symmetries of integrable models;
D O I
10.1088/1742-5468/2005/09/P09007
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We demonstrate that the tau((j))-matrices in the superintegrable chiral Potts model possess the Onsager algebra symmetry for their degenerate eigenvalues. The Fabricius-McCoy comparison of functional relations of the eight-vertex model for roots of unity and the superintegrable chiral Potts model has been carefully analysed by identifying equivalent terms in the corresponding equations, by which we extract the conjectured relation of Q-operators and all fusion matrices in the eight-vertex model corresponding to the T (T) over cap -relation in the chiral Potts model.
引用
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页码:195 / 217
页数:23
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