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Non-invertible Symmetries in 2D from Type IIB String Theory

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arxiv 2310.15339 v2 pith:2BJBNDII submitted 2023-10-23 hep-th

Xingyang Yu This is my paper · ORCID
classification hep-th
keywords non-invertibletheorytopologicalfieldlinessymmetriessymmetryaction
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 6 Pith papers

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

  1. On Lagrangians of Non-abelian Dijkgraaf-Witten Theories

    hep-th 2026-04 unverdicted novelty 7.0 of 10

    BF Lagrangians for non-abelian DW theories (e.g. dihedral groups) are obtained by gauging H^(0) symmetries of abelian DW theories, with twisted cohomologies and condensation-defect operators verified by character-tabl...

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    hep-th 2025-10 conditional novelty 7.0 of 10

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  3. Notes on (-2)-form symmetries

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Introduces (-2)-form symmetries that modify the SymTFT action to relate QFTs differing by anomaly data or non-invertible symmetry associators, illustrated in 2D-4D models, fusion categories, club-sandwich RG flows, an...

  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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    hep-th 2025-09 conditional novelty 6.0 of 10

    For Q8 and Rep(Q8), the paper computes condensable algebras, identifies intrinsically gapless SPT phases, and derives fusion-category short exact sequences that resolve categorical anomalies.

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    cs.CV 2025-08 reject novelty 6.0 of 10

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