Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2003-11-06
Publ.Res.Inst.Math.Sci.Kyoto 40:905-932,2004
Physics
Condensed Matter
Statistical Mechanics
24 pages
Scientific paper
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.
Fabricius Klaus
McCoy Barry M.
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