Heavy holographic correlators in defect conformal field theories

TL;DR

This paper investigates heavy scalar correlators in defect conformal field theories using holography, determining brane embeddings and computing two-point functions via geodesic approximations at strong coupling.

Contribution

It introduces a bottom-up holographic approach to defect CFTs, calculating defect correlators and verifying consistency with OPE and BOE in specific limits.

Findings

Computed defect one and two-point functions at strong coupling.

Validated results against OPE and BOE predictions.

Provided explicit brane embeddings in AdS space.

Abstract

We study holographic defect conformal field theories which are dual to probe branes with bottom-up methods. First we determine the embedding of codimension-1 interface branes in AdS space. Then we compute defect one and two-point functions of heavy scalar operators at strong coupling. We use geodesic approximations to compute reflected two-point functions in two ways, as well as ambient and defect-channel two-point functions. In appropriate limits, our results agree with the operator product expansion (OPE) and the boundary operator expansion (BOE).