Invariant Hermitian forms on vertex algebras
Name
2008.13178.pdf
Description
Accepted version
Size
393.4 KB
Format
Adobe PDF
Checksum (MD5)
8b917bc47a3061dcab7257940c4acbda
Author(s)
Kac, Victor G
Frajria, Pierluigi Möseneder
Papi, Paolo
Date Issued
2022
Journal
Communications in Contemporary Mathematics
Publisher
World Scientific Pub Co Pte Ltd
Citation
Kac, Victor G, Frajria, Pierluigi Möseneder and Papi, Paolo. 2022. "Invariant Hermitian forms on vertex algebras." Communications in Contemporary Mathematics, 24 (05).
Version
Author's final manuscript
Abstract
We study invariant Hermitian forms on a conformal vertex algebra and on their (twisted) modules. We establish existence of a non-zero invariant Hermitian form on an arbitrary [Formula: see text]-algebra. We show that for a minimal simple [Formula: see text]-algebra [Formula: see text] this form can be unitary only when its [Formula: see text]-grading is compatible with parity, unless [Formula: see text] “collapses” to its affine subalgebra.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1142/S0219199721500590
