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Algebra of Screening Operators for the Deformed W n Algebra

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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.

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Authors and Affiliations

  1. L. D. Landau Institute for Theoretical Sciences, Chernogolovka, 142432, Russia, , , , , , RO

    Boris Feigin, Alexandr Odesskii & Yaroslav Pugai

  2. Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606, Japan, , , , , , JP

    Michio Jimbo

  3. Institut Henri Poincaré and Ecole Normale Superieure, France, , , , , , FR

    Tetsuji Miwa

Authors
  1. Boris Feigin
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  2. Michio Jimbo
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  3. Tetsuji Miwa
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  4. Alexandr Odesskii
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  5. Yaroslav Pugai
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Received: 3 March 1997 / Accepted: 20 May 1997

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Feigin, B., Jimbo, M., Miwa, T. et al. Algebra of Screening Operators for the Deformed W n Algebra . Comm Math Phys 191, 501–541 (1998). https://doi.org/10.1007/s002200050276

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  • DOI: https://doi.org/10.1007/s002200050276

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