ON SUPER-RS ALGEBRA AND DRINFELD REALIZATION OF QUANTUM AFFINE SUPERALGEBRAS

Authors
Citation
Md. Gould et Yz. Zhang, ON SUPER-RS ALGEBRA AND DRINFELD REALIZATION OF QUANTUM AFFINE SUPERALGEBRAS, letters in mathematical physics, 44(4), 1998, pp. 291-308
Citations number
8
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
ISSN journal
03779017
Volume
44
Issue
4
Year of publication
1998
Pages
291 - 308
Database
ISI
SICI code
0377-9017(1998)44:4<291:OSAADR>2.0.ZU;2-8
Abstract
We describe the realization of the super-Reshetikhin-Semenov-Tian-Shan sky (RS) algebra in quantum affine superalgebras, thus generalizing th e approach of Frenkel and Reshetikhin to the supersymmetric (and twist ed) case. The algebraic homomorphism between the super-RS algebra and the Drinfeld current realization of quantum affine superalgebras is es tablished by using the Gauss decomposition technique of Ding and Frenk el. As an application, we obtain Drinfeld realization of quantum affin e superalgebra U-q [osp(1/2)((1))] and its degeneration - central exte nded super-Yangian double DY(h over bar) [osp(1/2)((1))].