Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation
Mathematical Physics
2015-05-28 v1 Statistical Mechanics
High Energy Physics - Theory
math.MP
Abstract
We present a generalization of the master solution to the quantum Yang-Baxter equation (obtained recently in arXiv:1006.0651) to the case of multi-component continuous spin variables taking values on a circle. The Boltzmann weights are expressed in terms of the elliptic gamma-function. The associated solvable lattice model admits various equivalent descriptions, including an interaction-round-a-face formulation with positive Boltzmann weights. In the quasi-classical limit the model leads to a new series of classical discrete integrable equations on planar graphs.
Cite
@article{arxiv.1106.5874,
title = {Elliptic gamma-function and multi-spin solutions of the Yang-Baxter equation},
author = {Vladimir V. Bazhanov and Sergey M. Sergeev},
journal= {arXiv preprint arXiv:1106.5874},
year = {2015}
}
Comments
22 pages, 5 figures