Higher rank generalization of 11-vertex rational R-matrix: IRF-Vertex relations and associative Yang-Baxter equation

Autor:	Atalikov, K., Zotov, A.
Rok vydání:	2023
Předmět:	Mathematical Physics High Energy Physics - Theory Mathematics - Quantum Algebra Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	Theoret. and Math. Phys., 216:2 (2023) 1083-1103
Druh dokumentu:	Working Paper
DOI:	10.1134/S0040577923080019
Popis:	We study ${\rm GL}_N$ rational $R$-matrix, which turns into the 11-vertex $R$-matrix in the $N=2$ case. First, we describe its relations to dynamical and semi-dynamical $R$-matrices using the IRF-Vertex type transformations. As a by-product a new explicit form for ${\rm GL}_N$ $R$-matrix is derived. Next, we prove the quantum and the associative Yang-Baxter equations. A set of other $R$-matrix properties and $R$-matrix identities are proved as well. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.02391 Zobrazit plný text záznamu Plný text ve formátu PDF