On Super-RS Algebra and Drinfeld Realization of Quantum Affine Superalgebras |
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Authors: | Gould Mark D Zhang Yao-Zhong |
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Institution: | (1) Department of Mathematics, University of Queensland, Brisbane, Old, 4072, Australia. |
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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 DY osp(1 2)(1)]. |
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Keywords: | Super-RS algebra Drinfeld realization quantum affine superalgebras |
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