QUADRATIC ALGEBRAS BASED ON SL(NM) ELLIPTIC QUANTUM R-MATRICES

被引：0
|
作者：
Sechin, I. A. [1 ,2 ]
Zotov, A., V [1 ,3 ]
机构：
[1] Natl Res Univ Higher Sch Econ, Moscow, Russia
[2] Skolkovo Inst Sci & Technol, Ctr Adv Studies, Moscow, Russia
[3] Russian Acad Sci, Steklov Math Inst, Moscow, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2021年 / 208卷 / 02期
基金：
俄罗斯科学基金会;
关键词：
quantum quadratic algebras; elliptic integrable system; quantum dynamical R-matrix;
D O I：
10.1134/S0040577921080110
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct a quadratic quantum algebra based on the dynamical RLL-relation for the quantum R-matrix related to SL(NM)-bundles with a nontrivial characteristic class over an elliptic curve. This R-matrix simultaneously generalizes 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 respective particular cases M = 1 and N = 1.
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页码：1156 / 1164
页数：9
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