Free boson representation ofq-vertex operators and their correlation functions |
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| Authors: | Akishi Kato Yas-Hiro Quano Jun'ichi Shiraishi |
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| Institution: | (1) Department of Mathematical Sciences, University of Tokyo, Meguro-ku, 153 Tokyo, Japan;(2) Department of Physics, University of Tokyo, Bunkyo-ku, 113 Tokyo, Japan |
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| Abstract: | A bosonization scheme of theq-vertex operators of Uq(sl2) for arbitrary level is obtained. They act as intertwiners among the highest weight modules constructed in a bosonic Fock space. An integral formula is proposed forN-point functions and explicit calculation for two-point function is presented.Partly supported by the Grant-in-Aid for Scientific Research from the Ministry of Education, Science and Culture (No. 04245206)A Fellow of the Japan Society of the Promotion of Science for Japanese Junior Scientists. Partly supported by the Grant-in-Aid for Scientific Research from the Ministry of Education, Science and Culture (No. 04-2297) |
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