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Momentum space parity-odd CFT 3-point functions

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arxiv 2101.11635 v1 pith:IMKRRKTI submitted 2021-01-27 hep-th

Sachin Jain , Renjan Rajan John , Abhishek Mehta , Amin A. Nizami , Adithya Suresh This is my paper · ORCID
classification hep-th
keywords momentumspaceconformalfunctionsoperatorsparity-oddpointcomprising
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the parity-odd sector of 3-point functions comprising of scalar operators and conserved currents in conformal field theories in momentum space. We use momentum space conformal Ward identities as well as spin-raising and weight-shifting operators to fix the form of these correlators. We discuss in detail the regularisation of divergences and their renormalisation using specific counter-terms.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Lectures on the Spinor and Twistor Formalism in 3D Conformal Field Theory

    hep-th 2025-08 unverdicted novelty 2.0 of 10

    Lecture notes recapping off-shell spinor helicity, twistor, and super-twistor methods for 3d CFT correlators, with 55 exercises and no substantial new research result.

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