Double-trace deformations of conformal correlations

Simone Giombi, Vladimir Kirilin, Eric Perlmutter

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19 Scopus citations


Large N conformal field theories often admit unitary renormalization group flows triggered by double-trace deformations. We compute the change in scalar four-point functions under double-trace flow, to leading order in 1/N. This has a simple dual in AdS, where the flow is implemented by a change of boundary conditions, and provides a physical interpretation of single-valued conformal partial waves. We extract the change in the conformal dimensions and three-point coefficients of infinite families of double-trace composite operators. Some of these quantities are found to be sign-definite under double-trace flow. As an application, we derive anomalous dimensions of spinning double-trace operators comprised of non-singlet constituents in the O(N) vector model.

Original languageEnglish (US)
Article number175
JournalJournal of High Energy Physics
Issue number2
StatePublished - Feb 1 2018

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • 1/N Expansion
  • AdS-CFT Correspondence
  • Conformal Field Theory
  • Field Theories in Higher Dimensions


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