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

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

2009-02-06

arxiv.org/abs/0902.1022v1

Int.J.Mod.Phys.A24:5561-5578,2009

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.1142/S0217751X09046308

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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