Pure contact term correlators in CFT

Abstract

We discuss the case of correlators in CFT made of pure contact terms, without a corresponding bare part. We show two examples. The first is provided by the conformal limits of a free massive fermion theory in 3d. We show that the (conserved) current correlators are in one-to-one correspondence with the terms of the 3d gauge CS action. The second is the Pontryagin trace anomaly. The corresponding 3-point correlator is nonvanishing even though the corresponding untraced correlator vanishes.

15 pages. Minor corrections in sec.3.3. Published in Proceedings of the 18th Bled Workshop "What Comes Beyond Standard Models"

References in corpus (3)

• A note on three-point functions of conserved currents
• Derivative expansion and the induced Chern-Simons term in N=1, d=3 superspace
• Parity-odd surface anomalies and correlation functions on conical defects

Cited by in corpus (8)

• Renormalised 3-point functions of stress tensors and conserved currents in CFT
• Double copy structure of parity-violating CFT correlators
• Weyl Anomalies of Four Dimensional Conformal Boundaries and Defects
• On the trace anomaly of a Weyl fermion
• One-loop effective actions and higher spins
• CP-violating super Weyl anomaly
• CP-violating supersymmetry anomaly
• Massive fermion model in 3d and higher spin currents