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TheA /(1) n face models

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Abstract

Presented here is the construction of solvable two-dimensional lattice models associated with the affine Lie algebraA /(1) n and an arbitrary pair of Young diagrams. The models comprise two kinds of fluctuation variables; one lives on the sites and takes on dominant integral weights of a fixed level, the other lives on edges and assumes the weights of the representations ofsl(n+1, C) specified by Young diagrams. The Boltzmann weights are elliptic solutions of the Yang-Baxter equation. Some conjectures on the one point functions are put forth.

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Authors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, 606, Kyoto, Japan

    M. Jimbo, T. Miwa & M. Okado

  2. Institute of Physics, College of Arts and Sciences, University of Tokyo, 153, Tokyo, Japan

    A. Kuniba

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  1. M. Jimbo
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  2. A. Kuniba
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  3. T. Miwa
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  4. M. Okado
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Communicated by H. Araki

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Jimbo, M., Kuniba, A., Miwa, T. et al. TheA /(1) n face models. Commun.Math. Phys. 119, 543–565 (1988). https://doi.org/10.1007/BF01218344

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  • DOI: https://doi.org/10.1007/BF01218344

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