# Strings 2022

Jul 18 – 23, 2022
University of Vienna
Europe/Vienna timezone

## Bootstrapping holographic defect correlators

Not scheduled
20m
Audimax (University of Vienna)

### Audimax

#### University of Vienna

Universitätsring 1, 1010 Vienna, Austria

### Speaker

Julien Barrat (Humboldt Universität zu Berlin)

### Description

Tremendous progress has been achieved during the last years in bootstrapping conformal correlators at strong coupling using analytical bootstrap methods and the AdS/CFT correspondence. In particular the development of Lorentzian inversion formulae revealed helpful in reconstructing four-point functions. In this work we present how this technology can be adapted to defect setups in order to compute scalar two-point functions in the presence of a conformal defect in the strong-coupling regime. We derive a dispersion relation that allows us to efficiently generate elegant closed-form expressions for a variety of setups, and in particular we apply this method to two-point functions of single-trace half-BPS operators in the presence of the supersymmetric Wilson line defect in $4d$ $\mathcal{N}=4$ SYM, using minimal input from holography.

### Primary authors

Aleix Gimenez-Grau (DESY) Julien Barrat (Humboldt Universität zu Berlin) Pedro Liendo (DESY)

### Presentation materials

There are no materials yet.