Wakimoto realization of Drinfeld current for the elliptic quantum algebra $U_{q,p}(sl_3^)$

Details Wakimoto realization of Drinfeld current for the elliptic quantum algebra $U_{q,p}(sl_3^)$ Wakimoto realization of Drinfeld current for the elliptic quantum algebra $U_{q,p}(sl_3^)$

2008-12-04

arxiv.org/abs/0812.0890v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTEX, Proceedings for the 27-th International Colloquium of Group Theoretical Method in Physics held at Yerevan, Armenia

Scientific paper

We study a free field realization of the elliptic quantum algebra
$U_{q,p}(sl_3^)$ for arbitrary level $k$. We give the free field realization of
elliptic analogue of Drinfeld current associated with $U_{q,p}(sl_3^)$ for
arbitrary level $k$. In the limit $p \to 0, q \to 1$ our realization reproduce
Wakimoto realization for the affine Lie algebra $sl_3^$.

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