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Unitary Vertex Algebras and Wightman Conformal Field Theories

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dc.contributor.authorRaymond, Christopher
dc.contributor.authorTanimoto, Yoh
dc.contributor.authorTener, James
dc.date.accessioned2023-11-21T00:34:40Z
dc.date.available2023-11-21T00:34:40Z
dc.date.issued2022-08-03
dc.date.updated2022-08-07T10:05:52Z
dc.description.abstractWe prove an equivalence between the following notions: (i) unitary Möbius vertex algebras, and (ii) Wightman conformal field theories on the circle (with finite-dimensional conformal weight spaces) satisfying an additional condition that we call uniformly bounded order. Reading this equivalence in one direction, we obtain new analytic and operator-theoretic information about vertex operators. In the other direction we characterize OPEs of Wightman fields and show they satisfy the axioms of a vertex algebra. As an application we establish new results linking unitary vertex operator algebras with conformal nets.en_AU
dc.description.sponsorshipCR and JT were supported by ARC Discovery Project DP200100067. CR was also supported by ARC Discovery Project DP170103265. YT was supported by Programma per giovani ricercatori, “Rita Levi Montalcini” of the Italian Ministry of Education, University and Research until 2020. YT acknowledges the MIUR Excellence Department Project awarded to the Department of Mathematics, University of Rome “Tor Vergata” CUP E83C18000100006 and the University of Rome “Tor Vergata” funding scheme “Beyond Borders” CUP E84I19002200005. JT gratefully acknowledges the support of “Rita Levi Montalcini” grant and the hospitality of the University of Rome, Tor Vergata, which facilitated this collaborationen_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn1432-0916en_AU
dc.identifier.urihttp://hdl.handle.net/1885/306434
dc.language.isoen_AUen_AU
dc.provenanceThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit <ext-link xlink:href="http://creativecommons.org/licenses/by/4.0/" ext-link-type="uri">http://creativecommons.org/licenses/by/4.0/</ext-link>.en_AU
dc.publisherSpringer Berlin Heidelbergen_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP200100067en_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP170103265en_AU
dc.rights© The Author(s) 2022en_AU
dc.rights.licenseCreative Commons Attribution Licenseen_AU
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en_AU
dc.sourceCommunications in Mathematical Physicsen_AU
dc.titleUnitary Vertex Algebras and Wightman Conformal Field Theoriesen_AU
dc.typeJournal articleen_AU
dcterms.accessRightsOpen Accessen_AU
local.bibliographicCitation.lastpage330en_AU
local.bibliographicCitation.startpage299en_AU
local.contributor.affiliationRaymond, Christopher, Mathematical Sciences Institute, The Australian National Universityen_AU
local.contributor.affiliationTener, James E., Mathematical Sciences Institute, The Australian National Universityen_AU
local.description.notesImported from Springer Natureen_AU
local.identifier.citationvolume395en_AU
local.identifier.doi10.1007/s00220-022-04431-9en_AU
local.publisher.urlhttps://link.springer.com/en_AU
local.type.statusPublished Versionen_AU

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