Anomalous dimensions of non-chiral operators from AdS/CFT

A. Liam Fitzpatrick, David Shih

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


Non-chiral operators with positive anomalous dimensions can have interesting applications to supersymmetric model building. Motivated by this, we develop a new method for obtaining the anomalous dimensions of non-chiral double-trace operators in N = 1 superconformal field theories (SCFTs) with weakly-coupled AdS duals. Via the Hamiltonian formulation of AdS/CFT, we show how to directly compute the anomalous dimension as a bound state energy in the gravity dual. This simplifies previous approaches based on the four-point function and the OPE. We apply our method to a class of effective AdS 5 supergravity models, and we find that the binding energy can have either sign. If such models can be UV completed, they will provide the first calculable examples of SCFTs with positive anomalous dimensions.

Original languageEnglish (US)
Article number113
JournalJournal of High Energy Physics
Issue number10
StatePublished - 2011

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • AdS-CFT correspondence
  • Conformal and W symmetry
  • Supergravity models

Fingerprint Dive into the research topics of 'Anomalous dimensions of non-chiral operators from AdS/CFT'. Together they form a unique fingerprint.

Cite this