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 |
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Keywords
- Mathematics Subject Classifications (1991): 17B37, 82A67
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
An elliptic quantum algebra for {Mathematical expression}2 - Dedicated to the memory of Ansgar Schnizer. / Foda, Omar; Iohara, Kenji; Jimbo, Michio; Kedem, Rinat; Miwa, Tetsuji; Yan, Hong.
In: Letters in Mathematical Physics, Vol. 32, No. 3, 01.11.1994, p. 259-268.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - An elliptic quantum algebra for {Mathematical expression}2 - Dedicated to the memory of Ansgar Schnizer
AU - Foda, Omar
AU - Iohara, Kenji
AU - Jimbo, Michio
AU - Kedem, Rinat
AU - Miwa, Tetsuji
AU - Yan, Hong
PY - 1994/11/1
Y1 - 1994/11/1
N2 - 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.
AB - 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.
KW - Mathematics Subject Classifications (1991): 17B37, 82A67
UR - http://www.scopus.com/inward/record.url?scp=0001503127&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0001503127&partnerID=8YFLogxK
U2 - 10.1007/BF00750668
DO - 10.1007/BF00750668
M3 - Article
AN - SCOPUS:0001503127
VL - 32
SP - 259
EP - 268
JO - Letters in Mathematical Physics
JF - Letters in Mathematical Physics
SN - 0377-9017
IS - 3
ER -