The $q$-Wakimoto Realization of the Superalgebras $U_q(\hat{sl}(N|1))$ and $U_{q,p}(\hat{sl}(N|1))$

Takeo Kojima

paper

The $q$ -Wakimoto Realization of the Superalgebras $U_{q} (s l^(N ∣1))$ and $U_{q, p} (s l^(N ∣1))$

arXiv:1201.4222

Abstract

We give bosonizations of the superalgebras $U_{q} (s l^(N ∣1))$ and $U_{q, p} (s l^(N ∣1))$ for an arbitrary level $k \in C$ . We introduce the submodule by the $ξ$ - $η$ system, that we call the $q$ -Wakimoto realization.

arXiv comment10 pages, LaTEX, Proceedings of the 9-th International Workshop "Lie Theory and Its Application in Physics (LT-9), 20-26 June 2011, Varna, Bulgaria", Springer

The q-Wakimoto Realization of the Superalgebras Uq​(sl^(N∣1)) and Uq,p​(sl^(N∣1))

Abstract

The $q$ -Wakimoto Realization of the Superalgebras $U_{q} (s l^(N ∣1))$ and $U_{q, p} (s l^(N ∣1))$