dorsal/arxiv
View SchemaOn Super RS algebra and Drinfeld Realization of Quantum Affine Superalgebras
| Authors | Mark D. Gould, Yao-Zhong Zhang |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9712011 |
| URL | https://arxiv.org/abs/q-alg/9712011 |
| Journal | Lett. Math. Phys. 44 (1998) 7051-7059 |
Abstract
We describe the realization of the super Reshetikhin-Semenov-Tian-Shansky (RS) algebra in quantum affine superalgebras, thus generalizing the approach of Frenkel-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-Frenkel. As an application, we obtain Drinfeld realization of quantum affine superalgebra $U_q[osp(1|2)^{(1)}]$ and its degeneration -- central extended super Yangian double $DY_\hbar[osp(1|2)^{(1)}]$.
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"abstract": "We describe the realization of the super Reshetikhin-Semenov-Tian-Shansky\n(RS) algebra in quantum affine superalgebras, thus generalizing the approach of\nFrenkel-Reshetikhin to the supersymmetric (and twisted) case. The algebraic\nhomomorphism between the super RS algebra and the Drinfeld current realization\nof quantum affine superalgebras is established by using the Gauss decomposition\ntechnique of Ding-Frenkel. As an application, we obtain Drinfeld realization of\nquantum affine superalgebra $U_q[osp(1|2)^{(1)}]$ and its degeneration --\ncentral extended super Yangian double $DY_\\hbar[osp(1|2)^{(1)}]$.",
"arxiv_id": "q-alg/9712011",
"authors": [
"Mark D. Gould",
"Yao-Zhong Zhang"
],
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"q-alg",
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],
"journal_ref": "Lett. Math. Phys. 44 (1998) 7051-7059",
"title": "On Super RS algebra and Drinfeld Realization of Quantum Affine Superalgebras",
"url": "https://arxiv.org/abs/q-alg/9712011"
},
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