Anomalies from correlation functions in defect conformal field theory

Christopher P. Herzog, Itamar Shamir*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


In previous work, we showed that an anomaly in the one point function of marginal operators is related by the Wess-Zumino condition to the Euler density anomaly on a two dimensional defect or boundary. Here we analyze in detail the two point functions of marginal operators with the stress tensor and with the displacement operator in three dimensions. We show how to get the boundary anomaly from these bulk two point functions and find perfect agreement with our anomaly effective action. For a higher dimensional conformal field theory with a four dimensional defect, we describe for the first time the anomaly effective action that relates the Euler density term to the one point function anomaly, generalizing our result for two dimensional defects.

Original languageEnglish
Article number91
JournalJournal of High Energy Physics
Issue number7
Early online date15 Jul 2021
Publication statusPublished - Jul 2021


  • Anomalies in Field and String Theories
  • Boundary Quantum Field Theory
  • Conformal Field Theory


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