Conformal Contact Terms and Semi-Local Terms

Abstract

We study conformal properties of local terms such as contact terms and semi-local terms in correlation functions of a conformal field theory. Not all of them are universal observables but they do appear in physically important correlation functions such as (anomalous) Ward-Takahashi identities or Schwinger-Dynson equations. We develop some tools such as embedding space delta functions and effective action to examine conformal invariance of these local terms.

arXiv comment18 pages, v2 reference added

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• Holographic 2-Point Functions in the Pseudo-Conformal Universe
• Revisiting the $k$-theorem with the ANEC