Eight-vertex model and Painlev\'e VI equation. II. Eigenvector results
Mathematical Physics
2010-11-19 v2 Statistical Mechanics
High Energy Physics - Theory
math.MP
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 Picard's elliptic solutions of the Painlev\'e VI equation. Connections with other problems related to the eight-vertex model are briefly discussed.
Cite
@article{arxiv.0912.2163,
title = {Eight-vertex model and Painlev\'e VI equation. II. Eigenvector results},
author = {Vladimir V. Mangazeev and Vladimir V. Bazhanov},
journal= {arXiv preprint arXiv:0912.2163},
year = {2010}
}
Comments
18 pages