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arxiv: 0902.1022 · v1 · submitted 2009-02-06 · 🌊 nlin.SI

Wakimoto realization of the elliptic algebra U_(q,p)(hat{sl_N})

classification 🌊 nlin.SI
keywords realizationalgebraarbitrarycurrentellipticlevelwakimotoassociated
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We construct a free field realization of the elliptic quantum algebra $U_{q,p}(\hat{sl_N})$ for arbitrary level $k \neq 0,-N$. We study Drinfeld current and the screening current associated with $U_{q,p}(\hat{sl_N})$ for arbitrary level $k$. In the limit $p \to 0$ this realization becomes $q$-Wakimoto realization for $U_q(\hat{sl_N})$.

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