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arXiv · q-alg/9412015

Vertex--IRF correspondence and factorized L-operators for an elliptic R-operator

Youichi Shibukawa
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Abstract

As for an elliptic $R$-operator which satisfies the Yang--Baxter equation, the incoming and outgoing intertwining vectors are constructed, and the vertex--IRF correspondence for the elliptic $R$-operator is obtained. The vertex--IRF correspondence implies that the Boltzmann weights of the IRF model satisfy the star--triangle relation. By means of these intertwining vectors, the factorized L-operators for the elliptic $R$-operator are also constructed. The vertex--IRF correspondence and the factorized L-operators for Belavin's $R$-matrix are reproduced from those of the elliptic $R$-operator.

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BibTeXRIS

Youichi Shibukawa. 1994-12-28. Vertex--IRF correspondence and factorized L-operators for an elliptic R-operator. https://doi.org/10.1007/bf02101811

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