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Title: Screenings and vertex operators of quantum superalgebra U{sub q}(sl-caret(N|1))

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.4742125· OSTI ID:22093684
 [1]
  1. Faculty of Engineering, Yamagata University, Jonan 4-3-16, Yonezawa 992-8510 (Japan)

We construct the screening currents of the quantum superalgebra U{sub q}(sl-caret(N|1)) for an arbitrary level k{ne}-N+ 1. We show that these screening currents commute with the superalgebra modulo total difference. We propose bosonizations of the vertex operators by using the screening currents. We check that these vertex operators are the intertwiners among the Fock-Wakimoto representation and the typical representation for rank N Less-Than-Or-Slanted-Equal-To 4.

OSTI ID:
22093684
Journal Information:
Journal of Mathematical Physics, Vol. 53, Issue 8; Other Information: (c) 2012 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English

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