Defining Relations for Minimal Unitary Quantum Affine W-Algebras
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220_2023_Article_4902.pdf
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Author(s)
Adamović, Dražen
Kac, Victor G.
Möseneder Frajria, Pierluigi
Papi, Paolo
Date Issued
February 4, 2024
Publisher
Springer Berlin Heidelberg
Citation
Communications in Mathematical Physics. 2024 Feb 04;405(2):33
Version
Final published version
Abstract
We prove that any unitary highest weight module over a universal minimal quantum affine W-algebra at non-critical level descends to its simple quotient. We find the defining relations of the unitary simple minimal quantum affine W-algebras and the list of all their irreducible positive energy modules. We also classify all irreducible highest weight modules for the simple affine vertex algebras in the cases when the associated simple minimal W-algebra is unitary.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution
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DOI of Published Version
https://doi.org/10.1007/s00220-023-04902-7
