Non-Invertible Defects in 5d, Boundaries and Holography

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 co-dimension 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 co-dimension one non-invertible defects of a boundary theory with an ABJ anomaly.

v3: Journal Version

References in corpus (12)

• Generalized Global Symmetries
• Duality and defects in rational conformal field theory
• Non-Invertible Higher-Categorical Symmetries
• Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases
• Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification
• On Continuous 2-Category Symmetries and Yang-Mills Theory
• Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly
• Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond $N$-ality
• Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond
• Generalized symmetries and 2-groups via electromagnetic duality in AdS/CFT
• Duality Defects in $E_8$
• On the 6d Origin of Non-invertible Symmetries in 4d

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