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Algebra of screening operators for the deformed $W_n$ algebra

B. Feigin·M. Jimbo·T. Miwa·A. Odesskii·Y. Pugai
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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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B. Feigin, M. Jimbo, T. Miwa, A. Odesskii, Y. Pugai. 1997-02-25. Algebra of screening operators for the deformed $W_n$ algebra. https://doi.org/10.1007/s002200050276

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