Abstract
We study the local state probabilities of the vertex models in the face formulation associated with the simple Lie algebras X n =A n, B n, C n, D n. The corner transfer matrix method expresses them in terms of one-dimensional configuration sums. We show that the latter are the string functions of X n (1) modules. We also present similar results for the restricted face models of types B n (1), C n (1), D n (1).
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Date, E., Jimbo, M., Kuniba, A. et al. One-dimensional configuration sums in vertex models and affine Lie algebra characters. Lett Math Phys 17, 69–77 (1989). https://doi.org/10.1007/BF00420017
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DOI: https://doi.org/10.1007/BF00420017