Some comments on the solvable chiral Potts model
A proof of the conjecture of Baxter, Perk, Au-Yang on their new solution of the star-triangle equation is given. This conjecture is on the structure of some normalization factor R(p,q,r) of this model related with the general Fermat curve. Properties of the underlying curve \(x^ 3y^ 3+x^ 3+y^ 3+k^{-2}=0\) are established. The period matrix is calculated. The theta function is expressed in terms of the Jacobi theta functions. The Picard-Fuchs equations for the periods of holomorphic differentials are derived.
scientific article; zbMATH DE number 4177263