Branes and Non-Invertible Symmetries

N=4$\mathcal{N}=4$ supersymmetric Yang-Mills theories with algebra so(4N)$\mathfrak {so}(4N)$ 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.

Automated summary

N=4 supersymmetric Yang-Mills theories with algebra so(4N) and appropriate global structure choices can exhibit non-invertible symmetries. We identify the holographic dual branes associated with these non-invertible symmetries and derive the fusion rules for the symmetries from the branes' worldvolume dynamics.