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

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

2009-12-11

arxiv.org/abs/0912.2163v2

J.Phys.A43:085206,2010

Physics

Mathematical Physics

18 pages

Scientific paper

10.1088/1751-8121/43/8/085206

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.

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