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arXiv · hep-th/9704074

On trigonometric intertwining vectors and non-dynamical R-matrix for the Ruijsenaars model

A. Antonov·K. Hasegawa·A. Zabrodin
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Abstract

We elaborate the trigonometric version of intertwining vectors and factorized L-operators. The starting point is the corresponding elliptic construction with Belavin's R-matrix. The naive trigonometric limit is singular and a careful analysis is needed. It is shown that the construction admits several different trigonometric degenerations. As a by-product, a quantum Lax operator for the trigonometric Ruijsenaars model intertwined by a non-dynamical R-matrix is obtained. The latter differs from the standard trigonometric R-matrix of $A_n$ type. A connection with the dynamical R-matrix approach is discussed.

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A. Antonov, K. Hasegawa, A. Zabrodin. 1997-04-29. On trigonometric intertwining vectors and non-dynamical R-matrix for the Ruijsenaars model. https://doi.org/10.1016/s0550-3213(97)00520-8

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