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arxiv: 1807.02269 · v1 · pith:TI36AXDSnew · submitted 2018-07-06 · 🧮 math.QA · hep-th· math-ph· math.MP· nlin.SI

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

classification 🧮 math.QA hep-thmath-phmath.MPnlin.SI
keywords widehataffinesuperalgebrabosonizationlevelpresentedquantumrealization
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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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