The Eight Vertex Model.New results

Abstract

Whereas the tools to determine the eigenvalues of the eight-vertex transfer matrix T are well known there has been until recently incomplete knowledge about the eigenvectors of T. We describe the construction of eigenvectors of T corresponding to degenerate eigenvalues and discuss the related hidden elliptic symmetry.

11 pages

References in corpus (4)

• Analytic theory of the eight-vertex model
• Construction of some missing eigenvectors of the XYZ spin chain at the discrete coupling constants and the exponentially large spectral degeneracy of the transfer matrix
• A new Q-matrix in the Eight-Vertex Model
• The 8V CSOS model and the $s{l}_2$ loop algebra symmetry of the six-vertex model at roots of unity