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Anomalous dimensions in CFT with weakly broken higher spin symmetry

Author(s): Giombi, Simone; Kirilin, Vladimir

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dc.contributor.authorGiombi, Simone-
dc.contributor.authorKirilin, Vladimir-
dc.date.accessioned2017-11-21T19:35:47Z-
dc.date.available2017-11-21T19:35:47Z-
dc.date.issued2016-11en_US
dc.identifier.citationGiombi, Simone, Kirilin, Vladimir. (2016). Anomalous dimensions in CFT with weakly broken higher spin symmetry. JOURNAL OF HIGH ENERGY PHYSICS, 10.1007/JHEP11(2016)068en_US
dc.identifier.issn1029-8479-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1fd15-
dc.description.abstractIn a conformal field theory with weakly broken higher spin symmetry, the leading order anomalous dimensions of the broken currents can be efficiently determined from the structure of the classical non-conservation equations. We apply this method to the explicit example of O(N) invariant scalar field theories in various dimensions, including the large N critical O(N) model in general d, the Wilson-Fisher fixed point in d = 4 - is an element of, cubic scalar models in d = 6 - is an element of and the nonlinear sigma model in d = 2 + is an element of. Using information from the d - 4 - is an element of and d = 2 + is an element of expansions, we obtain some estimates for the dimensions of the higher spin operators in the critical 3d O(N) models for a few low values of N and spin.en_US
dc.format.extent2016:68-1 - 2016:68-31en_US
dc.language.isoenen_US
dc.relation.ispartofJOURNAL OF HIGH ENERGY PHYSICSen_US
dc.rightsFinal published version. This is an open access article.en_US
dc.titleAnomalous dimensions in CFT with weakly broken higher spin symmetryen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1007/JHEP11(2016)068-
dc.date.eissued2016-11-10en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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