An elliptic quantum algebra forwidehat{s1}_2 2
Abstract
An elliptic deformation ofwidehat{s1}_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.
- Publication:
-
Letters in Mathematical Physics
- Pub Date:
- November 1994
- DOI:
- 10.1007/BF00750668
- arXiv:
- arXiv:hep-th/9403094
- Bibcode:
- 1994LMaPh..32..259F
- Keywords:
-
- 17B37;
- 82A67;
- High Energy Physics - Theory;
- Mathematics - Quantum Algebra
- E-Print:
- (Final version for publication.)