Superconformal Bondi-Metzner-Sachs Algebra in Three Dimensions

dc.contributor.authorFuentealba, Oscar
dc.contributor.authorGonzalez, Hernan A.
dc.contributor.authorPerez, Alfredo
dc.contributor.authorTempo, David
dc.contributor.authorTroncoso, Ricardo
dc.date2021
dc.date.accessioned2021-10-04T18:54:35Z
dc.date.available2021-10-04T18:54:35Z
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 AdS(4) 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,W-2,W-2,W-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.
dc.identifier.citationPHYSICAL REVIEW LETTERS,Vol.126,,2021
dc.identifier.doi10.1103/PhysRevLett.126.091602
dc.identifier.urihttp://repositoriodigital.uct.cl/handle/10925/4392
dc.language.isoen
dc.publisherAMER PHYSICAL SOC
dc.sourcePHYSICAL REVIEW LETTERS
dc.subject.english
dc.titleSuperconformal Bondi-Metzner-Sachs Algebra in Three Dimensions
dc.typeArticle
uct.indizacionSCI
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