Double copy structure of parity-violating CFT correlators

DOI10.1007/JHEP07(2021)033zbMATH Open1468.81095arXiv2104.12803OpenAlexW3158260300MaRDI QIDQ1981440

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Publication date: 3 September 2021

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Abstract: 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 $d{S}_4$. 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.

Full work available at URL: https://arxiv.org/abs/2104.12803

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