The eight-vertex model and Painleve VI equation II: eigenvector results

Abstract

We study a special anisotropic XYZ-model on a periodic chain of an odd length and conjecture exact expressions for certain components of the ground state eigenvectors. The results are written in terms of tau-functions associated with Picards elliptic solutions of the Painlev́e VI equation. Connections with other problems related to the eight-vertex model are briefly discussed. Show more