Wakimoto realization of the quantum affine superalgebra $U_q(\widehat{sl}(M\mathrm{\mid }N))$

A bosonization of the quantum affine superalgebra $U_q(\widehat{sl}(M\mathrm{\mid }N))$ is presented for an arbitrary level $k\in \mathbf{C}$.The Wakimoto realization is given by using $\xi -\eta$ system. The screening operators that commute with $U_q(\widehat{sl}(M\mathrm{\mid }N))$ are presented for the level $k\mathrm{\ne }-M+N$. New bosonization of the affine superalgebra $\widehat{sl}(M\mathrm{\mid }N)$ is obtained in the limit $q\to 1$.