Journal
THEORETICAL AND MATHEMATICAL PHYSICS
Volume 208, Issue 2, Pages 1156-1164Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0040577921080110
Keywords
quantum quadratic algebras; elliptic integrable system; quantum dynamical R-matrix
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Funding
- Russian Science Foundation [21-41-09011]
- Russian Science Foundation [21-41-09011] Funding Source: Russian Science Foundation
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In this study, a quadratic quantum algebra is constructed based on the dynamical RLL-relation for the quantum R-matrix associated with SL(NM)-bundles with a nontrivial characteristic class over an elliptic curve. This R-matrix generalizes existing matrices and the obtained quadratic relations provide a new set of relationships.
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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