Algebra of screening operators for the deformed Wn algebra

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

doi:10.1007/s002200050276

Algebra of screening operators for the deformed W_n algebra

Boris Feigin^*
, Michio Jimbo
, Tetsuji Miwa
, Alexandr Odesskii
, Yaroslav Pugai

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

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 W₃ algebra.

Original language	English
Pages (from-to)	501-541
Number of pages	41
Journal	Communications in Mathematical Physics
Volume	191
Issue number	3
DOIs	https://doi.org/10.1007/s002200050276
State	Published - 1998
Externally published	Yes

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10.1007/s002200050276

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title = "Algebra of screening operators for the deformed Wn algebra",

abstract = "We construct a family of intertwining operators (screening operators) between various Fock space modules over the deformed Wn 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 W3 algebra.",

author = "Boris Feigin and Michio Jimbo and Tetsuji Miwa and Alexandr Odesskii and Yaroslav Pugai",

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T1 - Algebra of screening operators for the deformed Wn algebra

AU - Feigin, Boris

AU - Jimbo, Michio

AU - Miwa, Tetsuji

AU - Odesskii, Alexandr

AU - Pugai, Yaroslav

PY - 1998

Y1 - 1998

N2 - We construct a family of intertwining operators (screening operators) between various Fock space modules over the deformed Wn 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 W3 algebra.

AB - We construct a family of intertwining operators (screening operators) between various Fock space modules over the deformed Wn 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 W3 algebra.

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VL - 191

SP - 501

EP - 541

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 3

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Algebra of screening operators for the deformed W_n algebra

Abstract

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