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An elliptic quantum algebra forwidehat{s1}_2 2 |
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| Authors: | Omar Foda Kenji Iohara Michio Jimbo Rinat Kedem Tetsuji Miwa Hong Yan |
| Affiliation: | 1. Department of Mathematics, University of Melbourne, Parkville, 3052, Victoria, Australia 2. Department of Mathematics, Faculty of Science, Kyoto University, 606, Kyoto, Japan 3. Research Institute for Mathematical Sciences, Kyoto University, 606, Kyoto, Japan 4. Institute of Theoretical Physics, PO Box 2735, Beijing, China |
| Abstract: | An elliptic deformation of $widehat{s1}_2 $ is proposed. Our presentation of the algebra is based on the relationRLL = LLR *, whereR andR * are eight-vertexR-matrices with the elliptic moduli chosen differently. In the trigonometric limit, this algebra reduces to a quotient of that proposed by Reshetikhin and Semenov-Tian-Shansky. Conjectures concerning highest-weight modules and vertex operators are formulated, and the physical interpretation ofR * is discussed. |
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