Functional Equations and Fusion Matrices for the Eight Vertex Model
Fabricius, Klaus ; McCoy, Barry M.
arXiv, 0311122 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-11-06
Classification:  Condensed Matter - Statistical Mechanics,  High Energy Physics - Theory,  Mathematical Physics,  Mathematics - Operator Algebras 
@article{0311122,
     author = {Fabricius, Klaus and McCoy, Barry M.},
     title = {Functional Equations and Fusion Matrices for the Eight Vertex Model},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0311122}
}

Fabricius, Klaus; McCoy, Barry M. Functional Equations and Fusion Matrices for the Eight Vertex Model. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0311122/