Non-invertible symmetries in S_N orbifold CFTs and holography

We study non-invertible defects in two-dimensional S_N orbifold CFTs. We construct universal defects which do not depend on the details of the seed CFT and hence exist in any orbifold CFT. Additionally, we investigate non-universal defects arising from the topological defects of the seed CFT. We argue that there exist universal defects that are non-trivial in the large-N limit, making them relevant for the AdS₃/CFT₂ correspondence. We then focus on AdS₃×S³ × ${\mathcal{M}}_4$ \( {\mathcal{M}}_4 \) with one unit of NS-NS flux and propose an explicit realization of these defects on the worldsheet.