AN ELLIPTIC QUANTUM ALGEBRA FOR (SL)CAP(2)

被引:71
作者
FODA, O
IOHARA, K
JIMBO, M
KEDEM, R
MIWA, T
YAN, H
机构
[1] INST THEORET PHYS,BEIJING,PEOPLES R CHINA
[2] KYOTO UNIV,FAC SCI,DEPT MATH,KYOTO 606,JAPAN
[3] KYOTO UNIV,MATH SCI RES INST,KYOTO 606,JAPAN
关键词
D O I
10.1007/BF00750668
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
An elliptic deformation of sl2 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.
引用
收藏
页码:259 / 268
页数:10
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