GL_{NM} quantum dynamical R matrix based on solution of the associative Yang─Baxter equation
Abstract
In this letter we construct ${\rm GL}_{NM}$valued dynamical $R$matrix by means of unitary skewsymmetric solution of the associative YangBaxter equation in the fundamental representation of ${\rm GL}_{N}$. In $N=1$ case the obtained answer reproduces the ${\rm GL}_{M}$valued Felder's $R$matrix, while in the $M=1$ case it provides the ${\rm GL}_{N}$ $R$matrix of vertex type including the BaxterBelavin's elliptic one and its degenerations.
 Publication:

Russian Mathematical Surveys
 Pub Date:
 August 2019
 DOI:
 10.1070/RM9897
 arXiv:
 arXiv:1905.08724
 Bibcode:
 2019RuMaS..74..767S
 Keywords:

 16T25;
 81R12;
 Mathematics  Quantum Algebra;
 High Energy Physics  Theory;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 6 pages, minor changes