Scale-invariant breaking of conformal symmetry

Anatoly Dymarsky, Alexander Zhiboedov

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


Known examples of unitary relativistic scale but not conformal-invariant field theories (SFTs) can be embedded into conventional conformal field theories (CFTs). We show that any SFT which is a subsector of a unitary CFT is a free theory. Our discussion applies to an arbitrary number of spacetime dimensions and explains triviality of known SFTs in four spacetime dimensions. We comment on examples of unitary SFTs which are not captured by our construction.

Original languageEnglish
Article number41FT01
JournalJournal of Physics A: Mathematical and Theoretical
Issue number41
Publication statusPublished - 21 Sep 2015


  • conformal field theory
  • higher spin symmetry
  • renormalization group


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