Quadratic algebras based on SL(NM) elliptic quantum R-matrices

Autor:	Sechin, I. A., Zotov, A. V.
Rok vydání:	2021
Předmět:	Mathematics - Quantum Algebra High Energy Physics - Theory Mathematical Physics Nonlinear Sciences - Exactly Solvable and Integrable Systems
Zdroj:	Theoret. and Math. Phys., 208:2 (2021) 1156-1164
Druh dokumentu:	Working Paper
DOI:	10.1134/S0040577921080110
Popis:	We construct quadratic quantum algebra based on the dynamical RLL-relation for the quantum $R$-matrix related to $SL(NM)$-bundles with nontrivial characteristic class over elliptic curve. This $R$-matrix generalizes simultaneously the elliptic nondynamical Baxter--Belavin and the dynamical Felder $R$-matrices,and the obtained quadratic relations generalize both -- the Sklyanin algebra and the relations in the Felder-Tarasov-Varchenko elliptic quantum group, which are reproduced in the particular cases $M=1$ and $N=1$ respectively. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2104.04963 Zobrazit plný text záznamu View this record from Arxiv