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

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.

25 pages, amslatex, no figures

References in corpus (2)

• A simple construction of elliptic $R$-matrices
• Yang-Baxter Equation for $A_{n-1}^{(1)}$ Broken ${\Bf Z}_N $ Models

Cited by in corpus (1)

• The Large N Limits of the Chiral Potts Model