JournalsprimsVol. 40, No. 3pp. 905–932

Functional Equations and Fusion Matrices for the Eight Vertex Model

  • Klaus Fabricius

    University of Wuppertal, Germany
  • Barry M. McCoy

    State Univ of New York at Stony Brook, USA
Functional Equations and Fusion Matrices for the Eight Vertex Model cover
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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.

Cite this article

Klaus Fabricius, Barry M. McCoy, Functional Equations and Fusion Matrices for the Eight Vertex Model. Publ. Res. Inst. Math. Sci. 40 (2004), no. 3, pp. 905–932

DOI 10.2977/PRIMS/1145475496