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arxiv: 0812.0890 · v1 · submitted 2008-12-04 · 🌊 nlin.SI

Wakimoto realization of Drinfeld current for the elliptic quantum algebra U_(q,p)(sl₃^)

classification 🌊 nlin.SI
keywords realizationalgebraellipticarbitrarycurrentdrinfeldfieldfree
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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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