English

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.

Keywords

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

R2 v1 2026-06-21T18:29:03.822Z