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

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