Bethe ansatz for the three-layer Zamolodchikov model

Abstract

This paper is a continuation of our previous work (solv-int/9903001). We obtain two more functional relations for the eigenvalues of the transfer matrices for the $sl(3)$ chiral Potts model at $q^2=-1$. This model, up to a modification of boundary conditions, is equivalent to the three-layer three-dimensional Zamolodchikov model. From these relations we derive the Bethe ansatz equations.

22 pages, LaTeX, 5 figures

References in corpus (1)

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

Cited by in corpus (4)

• An integrable 3D lattice model with positive Boltzmann weights
• Particles and strings in a (2+1)-D integrable quantum model
• An Elliptic Parameterisation of the Zamolodchikov Model
• Some exact results for the three-layer Zamolodchikov model