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The q-Wakimoto Realization of the Superalgebras \(U_{q}(\widehat{sl}(N|1))\) and \(U_{q,p}(\widehat{sl}(N|1))\)

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Lie Theory and Its Applications in Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 36))

Abstract

We give bosonizations of the superalgebras \(U_{q}(\widehat{sl}(N\vert 1))\) and \(U_{q,p}(\widehat{sl}(N\vert 1))\) for an arbitrary level k ∈ C. We introduce the submodule by the ξ-η system, that we call the q-Wakimoto realization.

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Acknowledgements

This work is supported by the Grant-in-Aid for Scientific Research C (21540228) from Japan Society for Promotion of Science. The author would like to thank the organizing committee of the 9-th International Workshop “Lie Theory and Its Applications in Physics”s for an invitation to Bulgaria.

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Authors and Affiliations

  1. Graduate School of Science and Engineering, Yamagata University, Jonan 4-3-16, Yonezawa, 992-8510, Japan

    Takeo Kojima

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  1. Takeo Kojima
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Correspondence to Takeo Kojima .

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Editors and Affiliations

  1. Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee, Sofia, 1784, Sofiya, Bulgaria

    Vladimir Dobrev

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Kojima, T. (2013). The q-Wakimoto Realization of the Superalgebras \(U_{q}(\widehat{sl}(N|1))\) and \(U_{q,p}(\widehat{sl}(N|1))\) . In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 36. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54270-4_18

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