q-Difference Realization of U_q(sl(M|N)) and Its Application to Free Boson Realization of U_q(\widehat{sl}(2|1))

Abstract

We present a q-difference realization of the quantum superalgebra U_q(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 U_q(\widehat{sl}(2|1)) of an arbitrary level k.

arXiv comment8 pages, LaTeX

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Cited by in corpus (10)

• Highest weight representations of $U_q(\widehat{sl}(2|1))$ and correlation functions of the q-deformed supersymmetric t-J model
• Level-One Representations and Vertex Operators of Quantum Affine Superalgebra $U_q[\widehat{gl(N|N)}]$
• A note on $q$-oscillator realizations of $U_q(gl(M|N))$ for Baxter $Q$-operators
• Vertex Operators of $U_q[\widehat{gl(N|N)}]$ and Highest Weight Representations of $U_q[\widehat{gl(2|2)}]$
• Elliptic Deformed Superalgebra $u_{q,p}(\widehat{sl}(M|N))$
• $U_q[\widehat{sl(2|1)}]$ Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level
• Free Field Realization of Quantum Affine Superalgebra $U_q(\widehat{sl}(N|1))$
• Screenings and Vertex Operators of Quantum Superalgebra $U_q(\widehat{sl}(N|1))$
• A Bosonization of $U_q(\widehat{sl}(M|N))$
• Bosonization and vertex operator of supersymmetry $u_q(\widehat{sl}(n|1))$ for level $k$