Branes and Non-Invertible Symmetries

Abstract

$\mathcal{N}=4$ supersymmetric Yang-Mills theories with algebra $\mathfrak{so}(4N)$ and appropriate choices of global structure can have non-invertible symmetries. We identify the branes holographically dual to the non-invertible symmetries, and derive the fusion rules for the symmetries from the worldvolume dynamics on the branes.

18 pages

References in corpus (8)

• Generalized Global Symmetries
• Symmetries and Strings in Field Theory and Gravity
• Kramers-Wannier-like duality defects in (3+1)d gauge theories
• Non-Invertible Duality Defects in 3+1 Dimensions
• The Uncertainty of Fluxes
• Heisenberg Groups and Noncommutative Fluxes
• Non-Invertible Symmetries of $\mathcal{N}=4$ SYM and Twisted Compactification
• On Continuous 2-Category Symmetries and Yang-Mills Theory

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