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On Super-RS Algebra and Drinfeld Realization of Quantum Affine Superalgebras

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Abstract

We describe the realization of the super-Reshetikhin–Semenov-Tian-Shansky (RS) algebra in quantum affine superalgebras, thus generalizing the approach of Frenkel and Reshetikhin to the supersymmetric (and twisted) case. The algebraic homomorphism between the super-RS algebra and the Drinfeld current realization of quantum affine superalgebras is established by using the Gauss decomposition technique of Ding and Frenkel. As an application, we obtain Drinfeld realization of quantum affine superalgebra Uq [osp(1|2)(1)] and its degeneration – central extended super-Yangian double DYħ [osp(1∣2)(1)].

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References

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Authors and Affiliations

  1. Department of Mathematics, University of Queensland, Brisbane, Old, 4072, Australia.

    Mark D. Gould & Yao-Zhong Zhang

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  1. Mark D. Gould
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  2. Yao-Zhong Zhang
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Correspondence to Yao-Zhong Zhang.

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Gould, M.D., Zhang, YZ. On Super-RS Algebra and Drinfeld Realization of Quantum Affine Superalgebras. Letters in Mathematical Physics 44, 291–308 (1998). https://doi.org/10.1023/A:1007494602290

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  • DOI: https://doi.org/10.1023/A:1007494602290

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