Wakimoto realization of the elliptic algebra $U_{q,p}(\widehat{s{l}_N})$

Abstract

We construct a free field realization of the elliptic quantum algebra $U_{q,p}(\widehat{s{l}_N})$ for arbitrary level $k\ne 0,-N$. We study Drinfeld current and the screening current associated with $U_{q,p}(\widehat{s{l}_N})$ for arbitrary level $k$. In the limit $p\to 0$ this realization becomes $q$-Wakimoto realization for $U_q(\widehat{s{l}_N})$.

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