Double copy structure of parity-violating CFT correlators

A bstract We show that general parity-violating 3d conformal field theories show a double copy structure for momentum space 3-point functions of conserved currents, stress tensor and marginal scalar operators. Splitting up the CFT correlator into two parts — called homogeneous and non-homogeneous —...

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Bibliographic Details
Published in:The journal of high energy physics 2021-07, Vol.2021 (7), p.1-35, Article 33
Main Authors: Jain, Sachin, John, Renjan Rajan, Mehta, Abhishek, Nizami, Amin A., Suresh, Adithya
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Conformal and W Symmetry
Conformal Field Theory
Correlators
Elementary Particles
Field Theories in Lower Dimensions
Gravity
High energy physics
Parity
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
String Theory
Tensors
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Summary:A bstract We show that general parity-violating 3d conformal field theories show a double copy structure for momentum space 3-point functions of conserved currents, stress tensor and marginal scalar operators. Splitting up the CFT correlator into two parts — called homogeneous and non-homogeneous — we show that double copy relations exist for each part separately. We arrive at similar conclusions regarding double copy structures using tree-level correlators of massless fields in dS 4 . We also discuss the flat space limit of these correlators. We further extend the double copy analysis to correlators involving higher-spin conserved currents, which suggests that the spin- s current correlator can be thought of as s copies of the spin one current correlator.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP07(2021)033