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Non-invertible symmetries in $S_N$ orbifold CFTs and holography

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arxiv 2405.15693 v1 pith:V6LT6ZIK submitted 2024-05-24 hep-th

Michael Gutperle , Yan-Yan Li , Dikshant Rathore , Konstantinos Roumpedakis This is my paper · ORCID
classification hep-th
keywords defectsorbifoldcftsexistnon-invertibleseedtimesuniversal
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abstract

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 AdS$_3$/CFT$_2$ correspondence. We then focus on AdS$_3\times$S$^3\times \mathcal M_4$ with one unit of NS-NS flux and propose an explicit realization of these defects on the worldsheet.

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Cited by 7 Pith papers

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