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

Mangazeev, Vladimir; Bazhanov, Vladimir


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.

CollectionsANU Research Publications
Date published: 2010
Type: Journal article
Source: Journal of Physics A: Mathematical and Theoretical
DOI: 10.1088/1751-8113/43/8/085206


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