Abstract
An elliptic deformation of {Mathematical expression} 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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 259-268 |
| Number of pages | 10 |
| Journal | Letters in Mathematical Physics |
| Volume | 32 |
| Issue number | 3 |
| DOIs | |
| State | Published - Nov 1 1994 |
| Externally published | Yes |
Keywords
- Mathematics Subject Classifications (1991): 17B37, 82A67
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
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Foda, O., Iohara, K., Jimbo, M., Kedem, R., Miwa, T., & Yan, H. (1994). An elliptic quantum algebra for {Mathematical expression}2 - Dedicated to the memory of Ansgar Schnizer. Letters in Mathematical Physics, 32(3), 259-268. https://doi.org/10.1007/BF00750668