Anomalous dimensions in CFT with weakly broken higher spin symmetry

Simone Giombi, Vladimir Kirilin

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59 Scopus citations


In 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 − ϵ, cubic scalar models in d = 6 − ϵ and the nonlinear sigma model in d = 2 + ϵ. Using information from the d = 4 − ϵ and d = 2 + ϵ 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.

Original languageEnglish (US)
Article number68
JournalJournal of High Energy Physics
Issue number11
StatePublished - Nov 1 2016

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • AdS-CFT Correspondence
  • Conformal Field Theory
  • Higher Spin Symmetry


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