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.
Publié le : 2005-11-22
Classification:
Condensed Matter - Statistical Mechanics,
High Energy Physics - Theory,
Mathematical Physics,
Nonlinear Sciences - Exactly Solvable and Integrable Systems
@article{0511543,
author = {Roan, Shi-shyr},
title = {Bethe Ansatz and Symmetry in Superintegrable Chiral Potts Model and
Root-of-unity Six-vertex Model},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0511543}
}
Roan, Shi-shyr. Bethe Ansatz and Symmetry in Superintegrable Chiral Potts Model and
Root-of-unity Six-vertex Model. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511543/