Functional Equations and Fusion Matrices for the Eight Vertex Model
Abstract
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.
 Publication:

arXiv eprints
 Pub Date:
 November 2003
 arXiv:
 arXiv:condmat/0311122
 Bibcode:
 2003cond.mat.11122F
 Keywords:

 Condensed Matter  Statistical Mechanics;
 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Operator Algebras
 EPrint:
 24 pages