Crystal base andq-vertex operators |
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Authors: | Etsuro Date Michio Jimbo Masato Okado |
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Affiliation: | (1) Department of Mathematical Science, Faculty of Engineering Science, Osaka University, 560 Toyonaka, Osaka, Japan;(2) Department of Mathematics, Faculty of Science, Kyoto University, 606 Kyoto, Japan |
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Abstract: | Theq-deformed vertex operators of Frenkel and Reshetikhin are studied in the framework of Kashiwara's crystal base theory. It is shown that the vertex operators preserve the crystal structure, and are naturally labeled by the global crystal base. As an application the one point functions are calculated for the associated elliptic RSOS models, following the scheme of Kang et al. developed for the trigonometric vertex models.Dedicated to Huzihiro Araki |
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