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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 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-Abelian Symmetry Operators from Hanging Branes in $AdS_5 \times S^5$

    hep-th 2025-10 conditional novelty 7.0 of 10

    In AdS5×S5, non-Abelian SO(6) symmetry operators are realized by hanging D5-brane–KK-monopole bound states, matching the Gauss-law operators from the low-energy supergravity action.

  2. Symmetric Product Orbifold Universality and the Mirage of an Emergent Spacetime

    hep-th 2025-02 conditional novelty 7.0 of 10

    Symmetric product orbifolds have large-N thermal correlators identical to BTZ, undercutting the claim that a type III1 von Neumann algebra implies a sharp emergent horizon.

  3. The $\alpha$-states of a string worldsheet

    hep-th 2026-07 conditional novelty 6.0 of 10

    The α-states of the Hurwitz worldsheet are symmetric-group characters weighted by the Poissonized Plancherel measure, so string amplitudes are ensemble averages whose weak-coupling limit is Kerov's central limit theorem.

  4. Continuous symmetries and charge measurement of boundary operators in holography

    hep-th 2026-02 conditional novelty 6.0 of 10

    Continuous symmetry operators in holography are U-shaped hanging brane bound states (D5-KK in Type IIB, M5-KK in M-theory) whose worldvolume couplings reproduce the Gauss-law symmetry operators and measure charges of ...

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