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• W3108943770 abstract "There is exactly one bosonic (3+1)-dimensional topological order whose only nontrivial particle is an emergent boson: pure $mathbb{Z}_2$ gauge theory. There are exactly two (3+1)-dimensional topological orders whose only nontrivial particle is an emergent fermion: pure gauge theory, in which the dynamical field is a spin structure; and an anomalous version thereof. I give three proofs of this classification, varying from hands-on to abstract. Along the way, I provide a detailed study of the braided fusion $2$-category $mathcal{Z}_{(1)}(Sigma mathbf{SVec})$ of string and particle operators in pure spin-$mathbb{Z}_2$ gauge theory." @default.
• W3108943770 created "2020-12-07" @default.
• W3108943770 creator A5074192674 @default.
• W3108943770 date "2020-11-23" @default.
• W3108943770 modified "2023-09-27" @default.
• W3108943770 title "(3+1)D topological orders with only a $mathbb{Z}_2$-charged particle" @default.
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• W3108943770 hasPublicationYear "2020" @default.
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