Double copy structure of parity-violating CFT correlators

Understand

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.