Superconformal Bondi-Metzner-Sachs Algebra in Three Dimensions

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datacite.alternateIdentifier.citationPhysical Review Letters, 126 (9), 2021
datacite.alternateIdentifier.doi10.1103/PhysRevLett.126.091602
datacite.alternateIdentifier.issn1079-7114
datacite.creatorFuentealba, Oscar
datacite.creatorGonzález, Hernán A.
datacite.creatorPérez, Alfredo
datacite.creatorTempo, David
datacite.creatorTroncoso, Ricardo
datacite.date2021
datacite.rightsAcceso abierto
datacite.subjectConformal Mapping
datacite.subjectAsymptotic Structures
datacite.subjectCanonical Realization
datacite.subjectCentral Extensions
datacite.subjectConformal Gravity
datacite.subjectConformal Transformation
datacite.subjectInfinite Dimensional
datacite.subjectNonlinear Extension
datacite.subjectSupersymmetric Extensions
datacite.subjectAlgebra
datacite.subjectArticle
datacite.subjectGravity
datacite.subjectMathematics
datacite.titleSuperconformal Bondi-Metzner-Sachs Algebra in Three Dimensions
dc.contributor.authorTEMPO RANGEL, JOSE DAVID
dc.description.abstractThe conformal extension of the BMS3 algebra is constructed. Apart from an infinite number of "superdilatations,"in order to incorporate superspecial conformal transformations, the commutator of the latter with supertranslations strictly requires the presence of nonlinear terms in the remaining generators. The algebra appears to be very rigid, in the sense that its central extensions as well as the coefficients of the nonlinear terms become determined by the central charge of the Virasoro subalgebra. The wedge algebra corresponds to the conformal group in three spacetime dimensions SO(3,2), so that the full algebra can also be interpreted as an infinite-dimensional nonlinear extension of the AdS4 algebra with nontrivial central charges. Moreover, since the Lorentz subalgebra [sl(2,R)] is nonprincipally embedded within the conformal (wedge) algebra, according to the conformal weight of the generators, the conformal extension of BMS3 can be further regarded as a W(2,2,2,1) algebra. An explicit canonical realization of the conformal extension of BMS3 is then shown to emerge from the asymptotic structure of conformal gravity in three dimensions, endowed with a new set of boundary conditions. The supersymmetric extension is also briefly addressed. © 2021 Elsevier B.V., All rights reserved.
dc.description.ia_keywordconformal, algebra, extension, nonlinear, central, three, dimensions
dc.formatPDF
dc.identifier.issn0031-9007
dc.identifier.urihttps://repositoriodigital.uct.cl/handle/10925/3815
dc.language.isoen
dc.publisherAmerican Physical Society
dc.relationinstname: ANID
dc.relationreponame: Repositorio Digital RI2.0
dc.rights.driverinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.sourcePhysical Review Letters
dc.subject.ia_oecd1nCiencias Naturales
dc.subject.ia_oecd2nMatemáticas y Estadística
dc.subject.ia_oecd3nMatemáticas
dc.type.driverinfo:eu-repo/semantics/article
dc.type.driverhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.type.openaireinfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
oaire.citationEdition2021
oaire.citationIssue9
oaire.citationTitlePhysical Review Letters
oaire.citationVolume126
oaire.fundingReferenceANID FONDECYT 1171162, 1181031, 1181496 (Regular), 11190427 (Iniciación)
oaire.fundingReferenceCONICYT Programa Basal (CECs)
oaire.licenseConditionObra bajo licencia Creative Commons Atribución 4.0 Internacional
oaire.licenseCondition.urihttps://creativecommons.org/licenses/by/4.0/
oaire.resourceTypeArtículo
oaire.resourceType.enArticle
relation.isAuthorOfPublication36f86531-ff32-46ea-8460-286e3b34e93c
relation.isAuthorOfPublication.latestForDiscovery36f86531-ff32-46ea-8460-286e3b34e93c
uct.catalogadorjvu
uct.comunidadIngenieríaen_US
uct.departamentoDepartamento de Ciencias Matemáticas y Físicas
uct.facultadFacultad de Ingeniería
uct.indizacionScience Citation Index Expanded - SCIE
uct.indizacionScopus
uct.indizacionINSPIRE
uct.indizacionCurrent Contents/Physical, Chemical & Earth Sciences
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