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- W4385582438 abstract "To study gapped phases of $4$d gauge theories, we introduce the temporal gauging of $mathbb{Z}_N$ $1$-form symmetry in $4$d quantum field theories (QFTs), thereby defining effective $3$d QFTs with $widetilde{mathbb{Z}}_Ntimes mathbb{Z}_N$ $1$-form symmetry. In this way, spatial fundamental Wilson and 't Hooft loops are simultaneously genuine line operators. Assuming a mass gap and Lorentz invariant vacuum of the $4$d QFT, the $widetilde{mathbb{Z}}_Ntimes mathbb{Z}_N$ symmetry must be spontaneously broken to an order-$N$ subgroup $H$, and we can classify the $4$d gapped phases by specifying $H$. This establishes the $1$-to-$1$ correspondence between the two classification schemes for gapped phases of $4$d gauge theories: One is the conventional Wilson-'t Hooft classification, and the other is the modern classification using the spontaneous breaking of $4$d $1$-form symmetry enriched with symmetry-protected topological states." @default.
- W4385582438 created "2023-08-05" @default.
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- W4385582438 date "2023-08-03" @default.
- W4385582438 modified "2023-09-27" @default.
- W4385582438 title "Study of gapped phases of 4d gauge theories using temporal gauging of the ℤN 1-form symmetry" @default.
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- W4385582438 doi "https://doi.org/10.1007/jhep08(2023)013" @default.
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