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- W3199437303 abstract "We explore topological defects in the 4-dimensional pure $mathbb{Z}_2$ lattice gauge theory. This theory has 1-form $mathbb{Z}_{2}$ center symmetry as well as the Kramers-Wannier-Wegner (KWW) duality. We construct the KWW duality topological defects in the similar way to that constructed by Aasen, Mong, Fendley arXiv:1601.07185 for the 2-dimensional Ising model. These duality defects turn out to be non-invertible. We also construct the 1-form $mathbb{Z}_{2}$ symmetry defects as well as the junctions among KWW duality defects and 1-form $mathbb{Z}_{2}$ center symmetry defects. The crossing relations among these defects are derived. The expectation values of some configurations of these topological defects are calculated by using these crossing relations." @default.
- W3199437303 created "2021-09-27" @default.
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- W3199437303 date "2021-09-13" @default.
- W3199437303 modified "2023-09-25" @default.
- W3199437303 title "Non-invertible topological defects in 4-dimensional $mathbb{Z}_2$ pure lattice gauge theory" @default.
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- W3199437303 doi "https://doi.org/10.48550/arxiv.2109.05992" @default.
- W3199437303 hasPublicationYear "2021" @default.
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