FunctionalEquations and Fusion M atrices for the Eight Vertex

Barry M. M cCoy

Published Jan 1, 2013• 0 citations

Abstract

W e derive sets offunctionalequationsforthe eightvertex modelby exploiting an analogy with the functionalequationsofthe chiralPottsm odel. From these equations we show that the fusion m atrices have specialreductionsatcertain rootsofunity.W e explicitly exhibitthesereductionsforthe 3,4and 5orderfusion m atricesand com pareourform ulation with thealgebra ofSklyanin.

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