# Supersymmetric probes in warped $AdS_6$

## TL;DR

This paper investigates supersymmetric defects in five-dimensional field theories via holography, analyzing probe branes in the $AdS_6$ background to understand defect spectra and generalizations of Wilson loops.

## Contribution

It provides a holographic analysis of codimension 1 and 2 defects in 5d theories using probe D-branes, including new configurations related to Wilson loops.

## Key findings

- Spectrum of mesonic operators for defect theories identified
- Supersymmetric probe brane configurations characterized
- Generalized Wilson loop-like configurations studied

## Abstract

We consider defects in 5d field theories corresponding to higher-rank generalizations of the $E_{N_f+1}$ theories; holographically dual to the Brandhuber-Oz background in type I' String Theory. We concentrate on codimension 2 and 1 defects, corresponding, respectively, to 3d and 4d defect Quantum Field Theories. We study holographically such defect theories by considering supersymmetric probe D4- and D6-branes in the $AdS_6$, whose fluctuations allow us to study the spectrum of mesonic operators of the defect theories. In the case of D4-branes, we also consider wrappings in the internal space which can be regarded as generalizations of the configurations capturing the antisymmetric Wilson loop.