Aq-deformation of Wakimoto modules,primary fields and screening operators |
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Authors: | Atsushi Matsuo |
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Institution: | (1) Department of Mathematics, Nagoya University, 464-01 Nagoya, Japan |
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Abstract: | Theq-vertex operators of Frenkel and Reshetikhin are studied by means of aq-deformation of the Wakimoto module for the quantum affine algebraU
q
at an arbitrary levelk0, –2. A Fock-module version of theq-deformed primary field of spinj is introduced, as well as the screening operators which (anti-)commute with the action ofU
q
up to a total difference of a field. A proof of the intertwining property is given for theq-vertex operators corresponding to the primary fields of spinj1/2Z
0. A sample calculation of the correlation function is also given.This is a revised version of the preprint distributed in December, 1992, with the title Free Field Realization ofq-deformed Primary Fields forU
q
(sl
2) |
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Keywords: | |
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