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dc.contributor.authorAdamović, Dražen
dc.contributor.authorKac, Victor G
dc.contributor.authorMöseneder Frajria, Pierluigi
dc.contributor.authorPapi, Paolo
dc.contributor.authorPerše, Ozren
dc.date.accessioned2021-10-27T20:10:38Z
dc.date.available2021-10-27T20:10:38Z
dc.date.issued2018
dc.identifier.urihttps://hdl.handle.net/1721.1/135082
dc.description.abstract© 2018 The Author(s). Published by Oxford University Press. All rights reserved. We discover a large class of simple affine vertex algebras Vk (g), associated to basic Lie superalgebras g at non-admissible collapsing levels k, having exactly one irreducible g-locally finite module in the category O. In the case when g is a Lie algebra, we prove a complete reducibility result for Vk(g)-modules at an arbitrary collapsing level. We also determine the generators of the maximal ideal in the universal affine vertex algebra Vk (g) at certain negative integer levels. Considering some conformal embeddings in the simple affine vertex algebras V-1/2 (Cn) and V-4(E7), we surprisingly obtain the realization of non-simple affine vertex algebras of types B and D having exactly one nontrivial ideal.
dc.language.isoen
dc.publisherOxford University Press (OUP)
dc.relation.isversionof10.1093/IMRN/RNY237
dc.rightsCreative Commons Attribution-Noncommercial-Share Alike
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.sourcearXiv
dc.titleAn Application of Collapsing Levels to the Representation Theory of Affine Vertex Algebras
dc.typeArticle
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematics
dc.relation.journalInternational Mathematics Research Notices
dc.eprint.versionAuthor's final manuscript
dc.type.urihttp://purl.org/eprint/type/JournalArticle
eprint.statushttp://purl.org/eprint/status/PeerReviewed
dc.date.updated2019-11-14T16:04:47Z
dspace.orderedauthorsAdamović, D; Kac, VG; Möseneder Frajria, P; Papi, P; Perše, O
dspace.date.submission2019-11-14T16:04:50Z
mit.journal.volume2020
mit.journal.issue13
mit.metadata.statusAuthority Work and Publication Information Needed


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