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q-Difference Realization of Uq(sl(M|N)) and Its Application to Free Boson Realization of Uq $$(\widehat{{\text{sl}}}(2|1))$$
Authors:Awata  Hidetoshi  Odake  Satoru  Shiraishi  Jun'ichi
Institution:(1) JAMES FRANK Institute and Enrico Fermi Institute, University of Chicago, 5640, S. Ellis Ave., Chicago, IL, 60637, U.S.A. e-mail;(2) Department of Physics, Faculty of Science, Shinshu University, Matsumoto, 390, Japan. e-mail;(3) Institute for Solid State Physics University of Tokyo, Tokyo, 106, Japan. e-mail: shiraish@mono.issp.u-tokyo.ac.jp
Abstract:We present a q-difference realization of the quantum superalgebra Uq(sl(M|N)), which includes Grassmann even and odd coordinates and their derivatives. Based on this result, we obtain a free boson realization of the quantum affine superalgebra Uq 
$$(\widehat{{\text{sl}}}(2|1))$$
of an arbitrary level k.
Keywords:quantum deformation  superalgebra  bosonic realization  
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