Level-One Representations and Vertex Operators of Quantum Affine Superalgebra $U_q[\widehat{gl(N|N)}]$

Abstract

Level-one representations of the quantum affine superalgebra $U_q[\widehat{gl(N|N)}]$ associated to the appropriate non-standard system of simple roots and $q$-vertex operators (intertwining operators) associated with the level-one modules are constructed explicitly in terms of free bosonic fields.

Errors in the cocycle factors of the vertex operators and some typos are corrected. LaTex file 17 pages

References in corpus (1)

• Highest weight representations of $U_q(\widehat{sl}(2|1))$ and correlation functions of the q-deformed supersymmetric t-J model

Cited by in corpus (12)

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• Level-one Highest Weight Representation of $U_q[\widehat{sl(N|1)}]$ and Bosonization of the Multi-component Super t-J Model
• Level-One Highest Weight Representations of $U_q[\widehat{gl(1|1)}]$ and Associated Vertex Operators
• The Quantum Affine Origin of the AdS/CFT Secret Symmetry
• Free Field Realization of Quantum Affine Superalgebra $U_q(\widehat{sl}(N|1))$
• $U_q[\widehat{sl(2|1)}]$ Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level
• Screenings and Vertex Operators of Quantum Superalgebra $U_q(\widehat{sl}(N|1))$
• A Bosonization of $U_q(\widehat{sl}(M|N))$
• Commutation relations of vertex operators for $U_q(\widehat{sl}(M|N))$