Invariant Hermitian forms on vertex algebras

Author(s)
Kac, Victor G; Frajria, Pierluigi Möseneder; Papi, Paolo
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Abstract
<jats:p> 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. </jats:p>
Date issued
2022
URI
https://hdl.handle.net/1721.1/145719
Department
Massachusetts Institute of Technology. Department of Mathematics
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
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