Extensions of Deformed W-algebras via qq-characters

B. Feigin; M. Jimbo; E. Mukhin

doi:10.1007/s00031-024-09869-w

Extensions of Deformed W-algebras via qq-characters

B. Feigin
, M. Jimbo
, E. Mukhin^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

Abstract

We use combinatorics of qq-characters to study extensions of deformed W-algebras. We describe additional currents and part of the relations in the cases of gl(n|m) and osp(2|2n).

Original language	English
Pages (from-to)	1689-1722
Number of pages	34
Journal	Transformation Groups
Volume	30
Issue number	4
DOIs	https://doi.org/10.1007/s00031-024-09869-w
State	Published - Dec 2025

Bibliographical note

Publisher Copyright:
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.

Keywords

Deformed W-algebras
Screening operators
Vertex operators
q-characters
qq-characters

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10.1007/s00031-024-09869-w

Cite this

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abstract = "We use combinatorics of qq-characters to study extensions of deformed W-algebras. We describe additional currents and part of the relations in the cases of gl(n|m) and osp(2|2n).",

keywords = "Deformed W-algebras, Screening operators, Vertex operators, q-characters, qq-characters",

author = "B. Feigin and M. Jimbo and E. Mukhin",

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AU - Mukhin, E.

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PY - 2025/12

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KW - Deformed W-algebras

KW - Screening operators

KW - Vertex operators

KW - q-characters

KW - qq-characters

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JF - Transformation Groups

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Extensions of Deformed W-algebras via qq-characters

Abstract

Bibliographical note

Keywords

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