SciPost Physics

SciPost Phys. 14, 067 (2023) · published 12 April 2023

• doi: 10.21468/SciPostPhys.14.4.067
• pdf
• BiBTeX
• RIS
• Submissions/Reports
• 

Abstract

We show that very simple theories of abelian gauge fields with a cubic Chern-Simons term in 5d have an infinite number of non-invertible codimension two defects. They arise by dressing the symmetry operators of the broken electric 1-form symmetry with a suitable topological field theory, for any rational angle. We further discuss the same theories in the presence of a 4d boundary, and more particularly in a holographic setting. There we find that the bulk defects, when pushed to the boundary, have various different fates. Most notably, they can become codimension one non-invertible defects of a boundary theory with an ABJ anomaly.

• Del Zotto et al., Remarks on geometric engineering, symmetry TFTs and anomalies
  J. High Energ. Phys. 2024, 220 (2024) [Crossref]
• Bhardwaj et al., Unifying constructions of non-invertible symmetries
  SciPost Phys. 15, 122 (2023) [Crossref]
• Inamura et al., Fusion surface models: 2+1d lattice models from fusion 2-categories
  SciPost Phys. 16, 143 (2024) [Crossref]
• Antinucci et al., “Zoology” of non-invertible duality defects: the view from class $$ \mathcal{S} $$
  J. High Energ. Phys. 2024, 36 (2024) [Crossref]
• Kaidi et al., Symmetry TFTs and anomalies of non-invertible symmetries
  J. High Energ. Phys. 2023, 53 (2023) [Crossref]
• Yamamoto et al., Generalized chiral instabilities, linking numbers, and non-invertible symmetries
  J. High Energ. Phys. 2023, 45 (2023) [Crossref]
• Bhardwaj et al., Non-invertible symmetry webs
  SciPost Phys. 15, 160 (2023) [Crossref]
• Cui et al., Non-invertible surface defects in 2+1d QFTs from half spacetime gauging
  J. High Energ. Phys. 2024, 159 (2024) [Crossref]
• Del Zotto et al., Back to heterotic strings on ALE spaces. Part II. Geometry of T-dual little strings
  J. High Energ. Phys. 2024, 109 (2024) [Crossref]
• Bashmakov et al., Non-invertible symmetries of class S theories
  J. High Energ. Phys. 2023, 225 (2023) [Crossref]
• Carta et al., Comments on Non-invertible Symmetries in Argyres-Douglas Theories
  J. High Energ. Phys. 2023, 135 (2023) [Crossref]
• Argurio et al., When ℤ2 one-form symmetry leads to non-invertible axial symmetries
  J. High Energ. Phys. 2023, 205 (2023) [Crossref]
• Bhardwaj et al., Generalized charges, part I: Invertible symmetries and higher representations
  SciPost Phys. 16, 093 (2024) [Crossref]
• Craig et al., High-quality axions from higher-form symmetries in extra dimensions
  Phys. Rev. D 111, 015047 (2025) [Crossref]
• Cvetič et al., Generalized symmetries, gravity, and the swampland
  Phys. Rev. D 109, 026012 (2024) [Crossref]
• Luo et al., Lecture notes on generalized symmetries and applications
  Physics Reports 1065, 1 (2024) [Crossref]
• Apte et al., Obstructions to gapped phases from noninvertible symmetries
  Phys. Rev. B 108, 045134 (2023) [Crossref]
• Bhardwaj et al., Categorical Landau Paradigm for Gapped Phases
  Phys. Rev. Lett. 133, 161601 (2024) [Crossref]
• Heckman et al., Fate of stringy noninvertible symmetries
  Phys. Rev. D 110, 106001 (2024) [Crossref]
• Lawrie et al., Intermediate defect groups, polarization pairs, and noninvertible duality defects
  Phys. Rev. D 109, 026005 (2024) [Crossref]
• Arbalestrier et al., Noninvertible axial symmetry in QED comes full circle
  Phys. Rev. D 110, 105012 (2024) [Crossref]
• Brennan et al., A SymTFT for continuous symmetries
  J. High Energ. Phys. 2024, 100 (2024) [Crossref]
• Damia et al., Non-invertible symmetries along 4d RG flows
  J. High Energ. Phys. 2024, 84 (2024) [Crossref]
• Bartsch et al., Non-invertible symmetries and higher representation theory II
  SciPost Phys. 17, 067 (2024) [Crossref]
• Schäfer-Nameki, ICTP lectures on (non-)invertible generalized symmetries
  Physics Reports 1063, 1 (2024) [Crossref]
• Aloni et al., Spontaneously broken (-1)-form U(1) symmetries
  SciPost Phys. 17, 031 (2024) [Crossref]
• Bonetti et al., SymTFTs and non-invertible symmetries of 6d (2,0) SCFTs of type D from M-theory
  J. High Energ. Phys. 2025, 156 (2025) [Crossref]
• Choi et al., Non-invertible Gauss law and axions
  J. High Energ. Phys. 2023, 67 (2023) [Crossref]
• Damia et al., When the moduli space is an orbifold: spontaneous breaking of continuous non-invertible symmetries
  J. High Energ. Phys. 2024, 42 (2024) [Crossref]
• Dierigl et al., R7-branes as charge conjugation operators
  Phys. Rev. D 109, 046004 (2024) [Crossref]
• Bhardwaj et al., Gapped phases with non-invertible symmetries: (1+1)d
  SciPost Phys. 18, 032 (2025) [Crossref]
• Antinucci et al., Anomalies and gauging of U(1) symmetries
  Phys. Rev. B 111, 024110 (2025) [Crossref]
• Heckman et al., Top down approach to topological duality defects
  Phys. Rev. D 108, 046015 (2023) [Crossref]
• Damia et al., Continuous generalized symmetries in three dimensions
  J. High Energ. Phys. 2023, 164 (2023) [Crossref]
• Bartsch et al., Non-invertible symmetries and higher representation theory I
  SciPost Phys. 17, 015 (2024) [Crossref]
• Etxebarria et al., A Goldstone theorem for continuous non-invertible symmetries
  J. High Energ. Phys. 2023, 145 (2023) [Crossref]
• Apruzzi et al., Aspects of categorical symmetries from branes: SymTFTs and generalized charges
  SciPost Phys. 17, 025 (2024) [Crossref]
• Etheredge et al., Branes and symmetries for $$ \mathcal{N} $$ = 3 S-folds
  J. High Energ. Phys. 2023, 5 (2023) [Crossref]
• Choi et al., Remarks on boundaries, anomalies, and noninvertible symmetries
  Phys. Rev. D 108, 125005 (2023) [Crossref]
• Gutperle et al., Non-invertible symmetries in SN orbifold CFTs and holography
  J. High Energ. Phys. 2024, 110 (2024) [Crossref]
• Antinucci et al., The holography of non-invertible self-duality symmetries
  J. High Energ. Phys. 2025, 52 (2025) [Crossref]
• Chen et al., SymTFTs and duality defects from 6d SCFTs on 4-manifolds
  J. High Energ. Phys. 2023, 208 (2023) [Crossref]
• Córdova et al., Neutrino Masses from Generalized Symmetry Breaking
  Phys. Rev. X 14, 031033 (2024) [Crossref]