Branes and Non-Invertible Symmetries

$\mathcal{N}=4$ supersymmetric Yang-Mills theories with algebra $\mathfrak{s}\mathfrak{o}(4N)$ and appropriate choices of global structure can have non-invertible symmetries. We identify the branes holographically dual to the non-invertible symmetries, and derive the fusion rules for the symmetries from the worldvolume dynamics on the branes.