An Elliptic quantum algebra for sl(2) - INSPIRE

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An Elliptic quantum algebra for sl(2)

Mar, 1994

12 pages

Published in:

Lett.Math.Phys. 32 (1994) 259-268

e-Print:

hep-th/9403094 [hep-th]

DOI:

10.1007/BF00750668

Report number:

RIMS-974

View in:

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Abstract:

An elliptic deformation of

\widehat{sl}_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.

References(17)

Figures(0)

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