Abstract
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 ℤN 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, ℤ2) symmetry of the bulk foliated BF theory. Finally, we construct the condensation defects and twist defects of S-transformation in the subsystem SL(2, ℤ2), from which the fusion rule of subsystem non-invertible operators can be recovered.
Publisher
Springer Science and Business Media LLC
Reference94 articles.
1. J. Haah, Local stabilizer codes in three dimensions without string logical operators, Phys. Rev. A 83 (2011) 042330 [arXiv:1101.1962] [INSPIRE].
2. J. Haah, Lattice quantum codes and exotic topological phases of matter, Ph.D. thesis, Caltech, U.S.A. (2013) https://doi.org/10.7907/GCYW-ZE58 [INSPIRE].
3. S. Vijay, J. Haah and L. Fu, Fracton Topological Order, Generalized Lattice Gauge Theory and Duality, Phys. Rev. B 94 (2016) 235157 [arXiv:1603.04442] [INSPIRE].
4. H. Ma, E. Lake, X. Chen and M. Hermele, Fracton topological order via coupled layers, Phys. Rev. B 95 (2017) 245126 [arXiv:1701.00747] [INSPIRE].
5. W. Shirley, K. Slagle, Z. Wang and X. Chen, Fracton Models on General Three-Dimensional Manifolds, Phys. Rev. X 8 (2018) 031051 [arXiv:1712.05892] [INSPIRE].
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