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An elliptic deformation of $\widehat{sl}_2$ is proposed. Our presentation ofthe algebra is based on the relation $RLL=LLR^*$, where $R$ and $R^*$ areeight-vertex $R$-matrices with the elliptic moduli chosen differently. In thetrigonometric limit, this algebra reduces to a quotient of that proposed byReshetikhin and Semenov-Tian-Shansky. Conjectures concerning highest weightmodules and vertex operators are formulated, and the physical interpretation of$R^*$ is discussed.Comment: (Final version for publication.

An elliptic quantum algebra for $$\widehat{s1}_2 $$ 2