Bethe Ansatz analysis of two-dimensional chiral model

C. Destri

Sung-Kil Yang

Herman E. Boos, Vladimir V. Mangazeev

This paper is a continuation of our previous work (Boos H E and Mangazeev V V 1999 J. Phys. A: Math. Gen. 32 3041-54). 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.

O. Babelon, Hector J. de Vega, C.-M. Viallet

Y. Wang, Fu‐Cho Pu

A one-dimensional boson–fermion model with two-body interactions between the two types of chiral fermions is considered. It is shown that the model is exactly soluble and the general Bethe eigenstates are constructed. On the basis of the Bethe ansatz equations, the ground state, the low lying elementary excitations, and the thermodynamics are also given in some closed integral equations.

V. F. M�ller