English

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

Mathematical Physics 2014-01-21 v1 Statistical Mechanics High Energy Physics - Theory math.MP

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.

Cite

@article{arxiv.1301.5775,
  title  = {Comment on star-star relations in statistical mechanics and elliptic gamma-function identities},
  author = {Vladimir V. Bazhanov and Andrew P. Kels and Sergey M. Sergeev},
  journal= {arXiv preprint arXiv:1301.5775},
  year   = {2014}
}

Comments

8 pages, 3 figures

R2 v1 2026-06-21T23:14:42.600Z