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Conformal Contact Terms and Semi-Local Terms

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arxiv 1906.07914 v2 pith:6IWW3SHB submitted 2019-06-19 hep-th

Yu Nakayama This is my paper · ORCID
classification hep-th
keywords termsconformalfunctionscontactcorrelationlocalsemi-localaction
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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.

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  1. An Ode to the Penrose and Witten transforms in Twistor space for 3D CFT

    hep-th 2025-05 conditional novelty 6.0 of 10

    The authors show that the infinity twistor must be added to twistor-space invariants to describe general primary operators in 3D CFTs, and they derive the corresponding Penrose, Witten, and super-Penrose transforms.

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