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

AbstractAn 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.