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Comment on star-star relations in statistical mechanics and elliptic gamma-function identities

Authors :
Bazhanov, Vladimir V.
Kels, Andrew P.
Sergeev, Sergey M.
Source :
J. Phys. A: Math. Theor. 46 (2013) 152001
Publication Year :
2013

Abstract

We prove a recently conjectured star-star relation, which plays the role of an integrability condition for a class of 2D Ising-type models with multicomponent continuous spin variables. Namely, we reduce this relation to an identity for elliptic gamma functions, previously obtained by Rains.<br />Comment: 8 pages, 3 figures

Details

Database :
arXiv
Journal :
J. Phys. A: Math. Theor. 46 (2013) 152001
Publication Type :
Report
Accession number :
edsarx.1301.5775
Document Type :
Working Paper
Full Text :
https://doi.org/10.1088/1751-8113/46/15/152001