Lightcone Bootstrap for Multipoint Defect Correlators

TL;DR

This paper develops a lightcone bootstrap approach for multipoint correlators in defect conformal field theories, revealing new defect operator families and their data at large transverse spin.

Contribution

It introduces a novel lightcone bootstrap framework for defect CFTs and identifies two new twist-accumulating defect operator families at large transverse spin.

Findings

Found two new twist-accumulating defect operator families.

Computed defect CFT data for these operators in the large transverse spin limit.

Reproduced bulk exchange contributions through defect spectrum constraints.

Abstract

We initiate the lightcone bootstrap analysis of multipoint correlators in a defect conformal field theory. The setup we consider is the three-point function of two bulk and one defect operator. Requiring consistency of the crossing equation in the lightcone limit, we find constraints on the defect spectrum at large transverse spin. Specifically, to reproduce the exchange of the leading-twist operator in the bulk channel we find two new twist-accumulating families of defect operators at large transverse spin and we compute their defect CFT data in this limit.