Yang-Baxter solutions from commuting operators
High Energy Physics - Theory
2024-04-12 v3 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
We construct -matrices (with a multidimensional spectral parameter) that include additive as well as non-additive parameters. They satisfy the colored Yang-Baxter equation. The solutions depend on a set of commuting operators. They change with the representation of the latter. The associated Yang-Baxter algebra and the spectrum of the transfer matrix are also studied.
Keywords
Cite
@article{arxiv.2401.05662,
title = {Yang-Baxter solutions from commuting operators},
author = {Pramod Padmanabhan and Kun Hao and Vladimir Korepin},
journal= {arXiv preprint arXiv:2401.05662},
year = {2024}
}
Comments
25 pages, v3 shortened version, includes only the new multi-parameter and non-regular R-matrices