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arXiv · 1905.08724

GL(NM) quantum dynamical $R$-matrix based on solution of the associative Yang-Baxter equation

I. Sechin·A. Zotov
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Abstract

In this letter we construct ${\rm GL}_{NM}$-valued dynamical $R$-matrix by means of unitary skew-symmetric solution of the associative Yang-Baxter 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 Baxter-Belavin's elliptic one and its degenerations.

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BibTeXRIS

I. Sechin, A. Zotov. 2019-05-21. GL(NM) quantum dynamical $R$-matrix based on solution of the associative Yang-Baxter equation. https://doi.org/10.1070/rm9897

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