Speaker
Description
We analyse the flat limit of AdS using the momentum space CFT representation of correlators. We consider an effective field theory of complex massive spin-1 fields interacting with an abelian gauge field on an asymptotically Anti-de Sitter background and implement the holographic renormalization procedure to compute the boundary CFT 3-point function involving a conserved current and two non-conserved operators with the same, but arbitrary, conformal dimension.
This result agrees with the momentum space CFT 3-point function obtained by solving the conformal Ward identities, providing a non-trivial test of the AdS/CFT correspondence. We discuss the flat limit of this theory by taking the AdS radius and operator dimensions to infinity. In this limit, the CFT 3-point function reduces to the flat space 3-point amplitude with an energy-conserving delta function emerging from the flat limit of triple-K integrals.
Link to publication (if applicable)
https://arxiv.org/abs/2406.06447