On the solutions to the multi-parametric Yang-Baxter equations
Mathematical Physics
2015-06-17 v2 math.MP
Abstract
A unified approach is applied in the consideration of the multi-parametric (colored) Yang-Baxter equations (YBE) and the usual YBE with two-parametric R-matrices, relying on the existence of the arbitrary functions in the general solutions. The colored YBE are considered with the R-matrices defined on two and three dimensional states. We present an exhaustive study and the overall solutions for the YBE with colored R-matrices. The established classification includes new multi-parametric free fermionic solutions. In the context of the given approach there are obtained the colored solutions to the YBE with R-matrices having 15 non-zero elements.
Keywords
Cite
@article{arxiv.1311.4994,
title = {On the solutions to the multi-parametric Yang-Baxter equations},
author = {Sh. Khachatryan},
journal= {arXiv preprint arXiv:1311.4994},
year = {2015}
}
Comments
30 pages, references are added, clarifications are done