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

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

1994-12-28

arxiv.org/abs/q-alg/9412015v1

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, amslatex, no figures

Scientific paper

10.1007/BF02101811

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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