Momentum space CFT correlators of non-conserved spinning operators

We analyse the 3-point CFT correlators involving non-conserved spinning operators in momentum space. We derive a general expression for the conformal Ward identities defining the 3-point functions involving two generic spin s non-conserved operators and a spin 1 conserved current. We give explicit expressions for the 3-point function when the two non-conserved operators have spins 1 and 2 and generic conformal dimensions. We also systematically analyse the divergences appearing in these 3-point functions when the conformal dimensions of the two non-conserved operators coincide.

Automated summary

We examined the 3-point CFT correlators involving non-conserved spinning operators in momentum space. A general expression for the conformal Ward identities defining the 3-point functions involving two generic spin s non-conserved operators and a spin 1 conserved current was derived. Explicit expressions for the 3-point function were provided when the two non-conserved operators have spins 1 and 2 and generic conformal dimensions. The divergences appearing in these 3-point functions when the conformal dimensions of the two non-conserved operators coincide were also systematically analyzed.