  We propose a top-down approach to non-invertible symmetries in 2D QFTs and
their associated symmetry topological field theories. We focus on the gauge
theory engineered on D1-branes probing a particular Calabi-Yau 4-fold
singularity. We show how to derive the symmetry topological field theory, a 3D
Dijkgraaf-Witten theory, from the IIB supergravity under dimensional reduction.
We also identify branes behind the non-invertible topological lines by
dimensionally reducing their worldvolume actions. The action of non-invertible
lines on charged local operators is then realized as the Hanany-Witten
transition.
