TY - JOUR
T1 - The eight-vertex model and Painlevé VI equation II
T2 - Eigenvector results
AU - Mangazeev, Vladimir V.
AU - Bazhanov, Vladimir V.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=76349123181&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/43/8/085206
DO - 10.1088/1751-8113/43/8/085206
M3 - Article
SN - 1751-8113
VL - 43
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 8
M1 - 085206
ER -