Double copy structure of parity-violating CFT correlators

TL;DR

This paper demonstrates a double copy structure in parity-violating 3d CFT correlators, revealing new relationships between different parts of the correlators and extending the structure to higher-spin currents.

Contribution

It introduces a novel double copy framework for parity-violating 3d CFT correlators, including their decomposition and extension to higher-spin currents.

Findings

Double copy relations hold for homogeneous and non-homogeneous parts separately.

Similar double copy structures are observed in tree-level correlators in dS_4.

Higher-spin current correlators can be viewed as multiple copies of spin-1 correlators.

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 $dS_4$. 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.