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- W4224269718 abstract "We discuss a variety of codimension-one, non-invertible topological defects in general 3+1d QFTs with a discrete one-form global symmetry. These include condensation defects from higher gauging of the one-form symmetries on a codimension-one manifold, each labeled by a discrete torsion class, and duality and triality defects from gauging in half of spacetime. The universal fusion rules between these non-invertible topological defects and the one-form symmetry surface defects are determined. Interestingly, the fusion coefficients are generally not numbers, but 2+1d TQFTs, such as invertible SPT phases, $mathbb{Z}_N$ gauge theories, and $U(1)_N$ Chern-Simons theories. The associativity of these algebras over TQFT coefficients relies on nontrivial facts about 2+1d TQFTs. We further prove that some of these non-invertible symmetries are intrinsically incompatible with a trivially gapped phase, leading to nontrivial constraints on renormalization group flows. Duality and triality defects are realized in many familiar gauge theories, including free Maxwell theory, non-abelian gauge theories with orthogonal gauge groups, ${cal N}=1,$ and ${cal N}=4$ super Yang-Mills theories." @default.
- W4224269718 created "2022-04-26" @default.
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- W4224269718 date "2022-04-19" @default.
- W4224269718 modified "2023-09-27" @default.
- W4224269718 title "Non-invertible Condensation, Duality, and Triality Defects in 3+1 Dimensions" @default.
- W4224269718 doi "https://doi.org/10.48550/arxiv.2204.09025" @default.
- W4224269718 hasPublicationYear "2022" @default.
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