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Free boson realization of
Authors:Hidetoshi Awata  Satoru Odake  Jun'ichi Shiraishi
Institution:(1) Yukawa Institute for Theoretical Physics, Kyoto University, 606-01 Kyoto, Japan;(2) Research Institute for Mathematical Sciences, Kyoto University, 606-01 Kyoto, Japan;(3) Present address: Department of Physics, University of Tokyo, 113 Tokyo, Japan
Abstract:We construct a realization of the quantum affine algebra MediaObjects/220_2005_BF02105187_f2.jpg of an arbitrary level k in terms of free boson fields. In the qrarr1 limit this realization becomes the Wakimoto realization ofMediaObjects/220_2005_BF02105187_f3.jpg. The screening currents and the vertex operators (primary fields) are also constructed; the former commutes withMediaObjects/220_2005_BF02105187_f4.jpg modulo total difference, and the latter creates theMediaObjects/220_2005_BF02105187_f5.jpg highest weight state from the vacuum state of the boson Fock space.fellow of Soryushi ShogakukaiAddress after June 1: Department of Physics, Faculty of Liberal Arts, Shinshu University, Matsumoto 390, Japan
Keywords:
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