Bounds on SCFTs from conformal perturbation theory

Daniel Green, David Shih

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


The operator product expansion (OPE) in 4d (super)conformal field theory is of broad interest, for both formal and phenomenological applications. In this paper, we use conformal perturbation theory to study the OPE of nearly-free fields coupled to SCFTs. Under fairly general assumptions, we show that the OPE of a chiral operator of dimension Δ = 1 + ∈ with its complex conjugate always contains an operator of dimension less than 2Δ. Our bounds apply to Banks-Zaks fixed points and their generalizations, as we illustrate using several examples.

Original languageEnglish (US)
Article number26
JournalJournal of High Energy Physics
Issue number9
StatePublished - 2012

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Conformal and W symmetry
  • Supersymmetry and duality


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