Notes on flat-space limit of holographic defect correlators in position space

Abstract

We study the large AdS radius limit of correlation functions in holographic defect CFTs. For two-point functions of operators inserted away from the defect, we derive a position space formula relating a certain scaling limit of the correlators to the flat-space scattering form factors. We show that our position space prescription is equivalent to the flat-space limit formula recently conjectured in Mellin space and also test our result in a few nontrivial theories.