Algebra of Screening Operators for the Deformed W n Algebra |
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Authors: | Boris Feigin Michio Jimbo Tetsuji Miwa Alexandr Odesskii Yaroslav Pugai |
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Affiliation: | (1) L. D. Landau Institute for Theoretical Sciences, Chernogolovka, 142432, Russia, RO;(2) Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606, Japan, JP;(3) Institut Henri Poincaré and Ecole Normale Superieure, France, FR |
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Abstract: | We construct a family of intertwining operators (screening operators) between various Fock space modules over the deformed W n algebra. They are given as integrals involving a product of screening currents and elliptic theta functions. We derive a set of quadratic relations among the screening operators, and use them to construct a Felder-type complex in the case of the deformed W 3 algebra. Received: 3 March 1997 / Accepted: 20 May 1997 |
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