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

Takeo Kojima

paper

Wakimoto realization of the quantum affine superalgebra $U_{q} (s l (M ∣ N))$

arXiv:1807.02269

Abstract

A bosonization of the quantum affine superalgebra $U_{q} (s l (M ∣ N))$ is presented for an arbitrary level $k \in C$ .The Wakimoto realization is given by using $ξ - η$ system. The screening operators that commute with $U_{q} (s l (M ∣ N))$ are presented for the level $k \neq = - M + N$ . New bosonization of the affine superalgebra $s l (M ∣ N)$ is obtained in the limit $q \to 1$ .

arXiv commentLaTEX, 12 pages, Proceedings of XII. International Workshop Lie Theory and Its Applications in Physics

Wakimoto realization of the quantum affine superalgebra Uq​(sl(M∣N))

Abstract

Wakimoto realization of the quantum affine superalgebra $U_{q} (s l (M ∣ N))$