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Wakimoto realization of drinfeld current for the elliptic quantum algebra Uq,p(\( \widehat{sl_3 } \))

  • Elementary Particles and Fields Theory
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Abstract

We study a free field realization of the elliptic quantum algebra Uq,p(\( \widehat{sl_3 } \)) for arbitrary level k. We give the free field realization of elliptic analog of Drinfeld current associated with Uq,p(\( \widehat{sl_3 } \)) for arbitrary level k. In the limit p → 0, q → 1 our realization reproduces Wakimoto realization for the affine Lie algebra \( \widehat{sl_3 } \).

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  1. Department of Mathematics, College of Science and Technology, Nihon University, Tokyo, Japan

    T. Kojima

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  1. T. Kojima
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Correspondence to T. Kojima.

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Kojima, T. Wakimoto realization of drinfeld current for the elliptic quantum algebra Uq,p(\( \widehat{sl_3 } \)). Phys. Atom. Nuclei 73, 367–374 (2010). https://doi.org/10.1134/S1063778810020250

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  • DOI: https://doi.org/10.1134/S1063778810020250

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