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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Keywords

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

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.1007/s00031-024-09869-w

Cite this

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title = "Extensions of Deformed W-algebras via qq-characters",

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",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.",

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AU - Feigin, B.

AU - Jimbo, M.

AU - Mukhin, E.

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2024.

PY - 2025/12

Y1 - 2025/12

N2 - 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).

AB - 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).

KW - Deformed W-algebras

KW - Screening operators

KW - Vertex operators

KW - q-characters

KW - qq-characters

UR - https://www.scopus.com/pages/publications/85199251627

U2 - 10.1007/s00031-024-09869-w

DO - 10.1007/s00031-024-09869-w

M3 - Article

SN - 1083-4362

VL - 30

SP - 1689

EP - 1722

JO - Transformation Groups

JF - Transformation Groups

IS - 4

ER -

Extensions of Deformed W-algebras via qq-characters

Abstract

Keywords

ASJC Scopus subject areas

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