TheA
n
/(1)
face models |
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Authors: | M Jimbo A Kuniba T Miwa M Okado |
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Institution: | (1) Research Institute for Mathematical Sciences, Kyoto University, 606 Kyoto, Japan;(2) Institute of Physics, College of Arts and Sciences, University of Tokyo, 153 Tokyo, Japan |
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Abstract: | Presented here is the construction of solvable two-dimensional lattice models associated with the affine Lie algebraA
n
/(1)
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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