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Communications in Mathematical Physics

, Volume 191, Issue 3, pp 501–541 | Cite as

Algebra of Screening Operators for the Deformed W n Algebra

  • Boris Feigin
  • Michio Jimbo
  • Tetsuji Miwa
  • Alexandr Odesskii
  • Yaroslav Pugai

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.

Keywords

Theta Function Space Module Quadratic Relation Screening Operator Screen Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Boris Feigin
    • 1
  • Michio Jimbo
    • 2
  • Tetsuji Miwa
    • 3
  • Alexandr Odesskii
    • 1
  • Yaroslav Pugai
    • 1
  1. 1.L. D. Landau Institute for Theoretical Sciences, Chernogolovka, 142432, RussiaRO
  2. 2.Department of Mathematics, Faculty of Science, Kyoto University, Kyoto 606, JapanJP
  3. 3.Institut Henri Poincaré and Ecole Normale Superieure, FranceFR

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