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arXiv · 1807.02269

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

Takeo Kojima
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Abstract

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

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BibTeXRIS

Takeo Kojima. 2018-07-06. Wakimoto realization of the quantum affine superalgebra $U_q(\widehat{sl}(M|N))$. https://arxiv.org/abs/1807.02269

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