Wakimoto realization of Drinfeld current for the elliptic quantum algebra $U_{q,p}(s{l}_3^{)}$

Abstract

We study a free field realization of the elliptic quantum algebra $U_{q,p}(s{l}_3^{)}$ for arbitrary level $k$. We give the free field realization of elliptic analogue of Drinfeld current associated with $U_{q,p}(s{l}_3^{)}$ for arbitrary level $k$. In the limit $p\to 0,q\to 1$ our realization reproduce Wakimoto realization for the affine Lie algebra $sl_3^$.

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