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On the 6d Origin of Non-invertible Symmetries in 4d

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arxiv 2206.07073 v2 pith:VATULPY4 submitted 2022-06-14 hep-th

Vladimir Bashmakov , Michele Del Zotto , Azeem Hasan This is my paper · ORCID
classification hep-th
keywords theoriesexamplesnon-invertibleordersymmetriesallowapplicationarising
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

It is well-known that six-dimensional superconformal field theories can be exploited to unravel interesting features of lower-dimensional theories obtained via compactifications. In this short note we discuss a new application of 6d (2,0) theories in constructing 4d theories with Kramers-Wannier-like non-invertible symmetries. Our methods allow to recover previously known results, as well as to exhibit infinitely many new examples of four dimensional theories with "M-ality" defects (arising from operations of order $M$ generalizing dualities). In particular, we obtain examples of order $M=p^k$, where $p>1$ is a prime number and $k$ is a positive integer.

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Cited by 5 Pith papers

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

  1. Topological Twisting of 4d $\mathcal{N}=2$ Supersymmetric Field Theories

    hep-th 2024-11 conditional novelty 8.0 of 10

    For any 4d N=2 theory, topologically twisted partition functions depend on the diffeomorphism type, 't Hooft fluxes, and a generalized spin-c structure.

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    hep-th 2024-12 conditional novelty 7.0 of 10

    The 7d SymTFT for 6d (2,0) D_N SCFTs is derived from M-theory on AdS7 × RP4, including the outer-automorphism Z2 sector, and is used to derive non-invertible symmetries and anomaly polynomials.

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    hep-th 2024-12 conditional novelty 6.0 of 10

    Non-invertible twisted compactification of class S theories on S^1 produces 3d N=4 sigma models whose target spaces are fixed-point sets of mapping class group actions on Hitchin moduli space, i.e. (B,B,B) branes.

  4. (-1)-form symmetries from M-theory and SymTFTs

    hep-th 2024-11 conditional novelty 6.0 of 10

    A systematic M-theory construction of SymTFTs for discrete and continuous (-1)-form symmetries, with a new 4-group structure in 4d N=1 SYM from G2 manifolds.

  5. SymTFT Approach to 2D Orbifold Groupoids: `t Hooft Anomalies, Gauging, and Partition Functions

    hep-th 2024-11 conditional novelty 6.0 of 10

    The authors derive partition functions of orbifolded, fermionized, and para-fermionized 2D CFTs from topological boundary states of the 3D SymTFT, introducing para-fermionic Lagrangian algebras.

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