Bethe Ansatz and Symmetry in Superintegrable Chiral Potts Model and Root-of-unity Six-vertex Model

Details Bethe Ansatz and Symmetry in Superintegrable Chiral Potts Model and Root-of-unity Six-vertex Model Bethe Ansatz and Symmetry in Superintegrable Chiral Potts Model and Root-of-unity Six-vertex Model

2005-11-22

arxiv.org/abs/cond-mat/0511543v3

Nankai Tracts in Mathematics Vol. 10, Differential Geometry and Physics, ed Mo-Lin Go and Weiping Zhang (World Scientific, Sin

Physics

Condensed Matter

Statistical Mechanics

Latex 10 Pgaes ; Typos corrected

Scientific paper

We examine the Onsager algebra symmetry of $\tau^{(j)}$-matrices in the superintegrable chiral Potts model. The comparison of Onsager algebra symmetry of the chiral Potts model with the $sl_2$-loop algebra symmetry of six-vertex model at roots of unity is made from the aspect of functional relations using the $Q$-operator and fusion matrices. The discussion of Bethe ansatz for both models is conducted in a uniform manner through the evaluation parameters of their symmetry algebras.

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