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arXiv:hep-th/9606095 · Journal of Physics A Mathematical and General

Bosonization of vertex operators for the face model

Yoshinori Asai, Michio Jimbo, Tetsuji Miwa, Yaroslav Pugai

Published Oct 21, 1996• 55 citations
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Abstract

We present a free boson realization of the vertex operators and their duals for the solvable SOS lattice model of type. We discuss a possible connection with the calculation of correlation functions.
DOI
10.1088/0305-4470/29/20/015

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An analog of the Yang-Baxter Algebra (YBA) is defined in face language. The operators tαα′,ββ′(θ) introduced here enjoy all essential properties of the vertex language YBA. Using this face YBA an algebraic Bethe Ansatz (BA) is constructed for SOS models (unrestricted IRF models). The face dual of the six-vertex model and the critical ABF model are worked out explicitly. Eigenvectors and eigenvalues of the transfer matrix are found and the corresponding BA equations derived and compared with the six vertex BAE.