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arXiv · 1404.5744

Bosonization of superalgebra $U_q(\widehat{sl}(N|1))$ for an arbitrary level

Takeo Kojima
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Abstract

We give a bosonization of the quantum affine superalgebra $U_q(\widehat{sl}(N|1))$ for an arbitrary level $k \in {\bf C}$. The bosonization of level $k \in {\bf C}$ is completely different from those of level $k=1$. From this bosonization, we induce the Wakimoto realization whose character coincides with those of the Verma module. We give the screening that commute with $U_q(\widehat{sl}(N|1))$. Using this screening, we propose the vertex operator that is the intertwiner among the Wakimoto realization and typical realization. We study non-vanishing property of the correlation function defined by a trace of the vertex operators.

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Takeo Kojima. 2014-04-23. Bosonization of superalgebra $U_q(\widehat{sl}(N|1))$ for an arbitrary level. https://arxiv.org/abs/1404.5744

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