Bethe Ansatz Equations for the Broken $Z_N$-Symmetric Model

Abstract

We obtain the Bethe Ansatz equations for the broken ${\mathbf{Z}}_N$-symmetric model by constructing a functional relation of the transfer matrix of $L$-operators. This model is an elliptic off-critical extension of the Fateev-Zamolodchikov model. We calculate the free energy of this model on the basis of the string hypothesis.

arXiv comment43 pages, latex, 11 figures