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arXiv · hep-th/9403094

An elliptic quantum algebra for $\widehat{sl}_2$

Omar Foda·K. Iohara·M. Jimbo·R. Kedem·T. Miwa·H. Yan
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Abstract

An elliptic deformation of $\widehat{sl}_2$ is proposed. Our presentation of the algebra is based on the relation $RLL=LLR^*$, where $R$ and $R^*$ are eight-vertex $R$-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 of $R^*$ is discussed.

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Omar Foda, K. Iohara, M. Jimbo, R. Kedem, T. Miwa, H. Yan. 1994-05-12. An elliptic quantum algebra for $\widehat{sl}_2$. https://doi.org/10.1007/bf00750668

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