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A large class of gapped phases of matter can be described by topological finite group gauge theories.
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2018
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M. Barkeshli and M. Cheng, “Time-reversal and spatial-reflection symmetry localization anomalies in (2+1)-dimensional topological phases of matter,” Phys. Rev. B
2018
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Y.-A. Chen, A. Kapustin, and D. Radicevic, “Exact bosonization in two spatial dimensions and a new class of lattice gauge theories,” Annals of Physics
2018
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2019
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2019
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2019
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F. Benini, C. Córdova, and P.-S. Hsin, “On 2-Group Global Symmetries and their Anomalies,” JHEP
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2019
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T. Lan and X.-G. Wen, “Classification of 3 + 1 D 3+1\mathrm{D} bosonic topological orders (ii): The case when some pointlike excitations are fermions,” Phys. Rev. X
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Y.-A. Chen and A. Kapustin, “Bosonization in three spatial dimensions and a 2-form gauge theory,” Phys. Rev. B
2019
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K. Kawagoe and M. Levin, “Microscopic definitions of anyon data,” Physical Review B
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Q.-R. Wang and Z.-C. Gu, “Construction and classification of symmetry-protected topological phases in interacting fermion systems,” Phys. Rev. X
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Y.-A. Chen, “Exact bosonization in arbitrary dimensions,” Phys. Rev. Res
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D. Aasen, P. Bonderson, and C. Knapp, “Characterization and classification of fermionic symmetry enriched topological phases,” 2021
2021
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2021
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Y.-A. Chen, T. D. Ellison, and N. Tantivasadakarn, “Disentangling supercohomology symmetry-protected topological phases in three spatial dimensions,” Phys. Rev. Research
2021
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Y.-A. Chen, T. D. Ellison, and N. Tantivasadakarn, “Disentangling supercohomology symmetry-protected topological phases in three spatial dimensions,” Phys. Rev. Res
2021
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2021
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D. Bulmash and M. Barkeshli, “Fermionic symmetry fractionalization in (2+ 1) dimensions,” Physical Review B
2022
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M. Barkeshli, Y.-A. Chen, P.-S. Hsin, and N. Manjunath, “Classification of ( 2 + 1 ) (2+1) d invertible fermionic topological phases with symmetry,” Physical Review B
2022
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2022
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2022
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2022
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2022
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