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- W4387355440 abstract "We generalize the idea of symmetry topological field theory (SymTFT) for subsystem symmetry. We propose the 2-foliated BF theory with level $N$ in $(3+1)$d as subsystem SymTFT for subsystem $mathbb Z_N$ symmetry in $(2+1)$d. Focusing on $N=2$, we investigate various topological boundaries. The subsystem Kramers-Wannier and Jordan-Wigner dualities can be viewed as boundary transformations of the subsystem SymTFT and are included in a larger duality web from the subsystem $SL(2,mathbb Z_2)$ symmetry of the bulk foliated BF theory. Finally, we construct the condensation defects and twist defects of the subsystem $SL(2,mathbb Z_2)$ transformation, from which the fusion rule of subsystem non-invertible operators can be recovered." @default.
- W4387355440 created "2023-10-05" @default.
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- W4387355440 date "2023-10-02" @default.
- W4387355440 modified "2023-10-06" @default.
- W4387355440 title "Symmetry TFT for Subsystem Symmetry" @default.
- W4387355440 doi "https://doi.org/10.48550/arxiv.2310.01474" @default.
- W4387355440 hasPublicationYear "2023" @default.
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