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

Date

2010

Authors

Mangazeev, Vladimir
Bazhanov, Vladimir

Journal Title

Journal ISSN

Volume Title

Publisher

IOP Electronic Journals

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.

Description

Keywords

Citation

Source

Journal of Physics A: Mathematical and Theoretical

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1088/1751-8113/43/8/085206

Restricted until

2037-12-31