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arXiv · 0912.2163

Eight-vertex model and Painlevé VI equation. II. Eigenvector results

Vladimir V. Mangazeev·Vladimir V. Bazhanov
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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 Painlevé VI equation. Connections with other problems related to the eight-vertex model are briefly discussed.

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Vladimir V. Mangazeev, Vladimir V. Bazhanov. 2009-12-13. Eight-vertex model and Painlevé VI equation. II. Eigenvector results. https://doi.org/10.1088/1751-8121%2F43%2F8%2F085206

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