Functional relations and nested Bethe-ansatz for sl(3) chiral Potts model at q^2=-1

Research Report MRR98-051

Functional relations and nested Bethe-ansatz for sl(3) chiral Potts model at q²=-1

H.E. Boos and V.V. Mangazeev

Abstract: We obtain the functional relations for the eigenvalues of the transfer-matrix of the sl(3) chiral Potts model at q²=-1. For the homogeneous model in both directions a solution of these functional relations can be written in terms of roots of Bethe-ansatz-like equations. In addition, a direct nested Bethe-ansatz can be also developed for this case.

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Functional relations and nested Bethe-ansatz for sl(3) chiral Potts model at q2=-1

H.E. Boos and V.V. Mangazeev

Functional relations and nested Bethe-ansatz for sl(3) chiral Potts model at q²=-1