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On superconformal anyons

dc.creatorDoroud, Nima
dc.creatorTong, David
dc.creatorTurner, Carl
dc.date.accessioned2018-11-24T23:18:31Z
dc.date.available2016-01-22T16:42:26Z
dc.date.available2018-11-24T23:18:31Z
dc.date.issued2016-01-22
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/253444
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3297
dc.description.abstractIn d = 2+1 dimensions, there exist field theories which are non-relativistic and superconformal. These theories describe two species of anyons, whose spins differ by 1/2, interacting in a harmonic trap. We compute the dimensions of chiral primary operators. These operators receive large anomalous dimensions which are related to the unusual angular momentum properties of anyons. Surprisingly, we find that the dimensions of some chiral primary operators violate the unitarity bound and we trace this to the fact that the associated wavefunctions become non-normalisable. We also study BPS non-perturbative states in this theory: these are Jackiw-Pi vortices. We show that these emerge at exactly the point where perturbative operators hit the unitarity bound. To describe the low-energy dynamics of these vortices, we construct a novel type of supersymmetric gauged linear sigma model.
dc.languageen
dc.publisherSpringer
dc.publisherJournal of High Energy Physics
dc.rightshttp://creativecommons.org/licenses/by/2.0/uk/
dc.rightsAttribution 2.0 UK: England & Wales
dc.titleOn superconformal anyons
dc.typeArticle


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