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We demonstrate a general gauging procedure of a pure matter theory on a lattice with a mixture of subsystem and global symmetries.
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2018
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2018
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2018
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Trithep Devakul and Dominic J. Williamson, “Universal quantum computation using fractal symmetry-protected cluster phases,” Phys. Rev. A 98
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2017
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Han Ma, Ethan Lake, Xie Chen, and Michael Hermele, “Fracton topological order via coupled layers,” Phys. Rev. B 95
2017
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Timothy H. Hsieh and Gábor B. Halász, “Fractons from partons,” Phys. Rev. B 96
2017
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Gábor B. Halász, Timothy H. Hsieh, and Leon Balents, “Fracton topological phases from strongly coupled spin chains,” Phys. Rev. Lett. 119
2017
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2017
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O. Petrova and N. Regnault, “Simple anisotropic three-dimensional quantum spin liquid with fractonlike topological order,” Phys. Rev. B 96
2017
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Abhinav Prem, Jeongwan Haah, and Rahul Nandkishore, “Glassy quantum dynamics in translation invariant fracton models,” Phys. Rev. B 95
2017
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2018
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2018
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Rahul M. Nandkishore and Michael Hermele, “Fractons,” Annual Review of Condensed Matter Physics 10
2019
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Abhinav Prem, Sheng-Jie Huang, Hao Song, and Michael Hermele, “Cage-net fracton models,” Phys. Rev. X 9
2019
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Abhinav Prem and Dominic J. Williamson, “Gauging permutation symmetries as a route to non-abelian fractons,” SciPost Phys. 7
2019
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Daniel Bulmash and Maissam Barkeshli, “Gauging fractons: Immobile non-abelian quasiparticles, fractals, and position-dependent degeneracies,” Phys. Rev. B 100
2019
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Hao Song, Abhinav Prem, Sheng-Jie Huang, and M. A. Martin-Delgado, “Twisted fracton models in three dimensions,” Phys. Rev. B 99
2019
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Michael Pretko, Xie Chen, and Yizhi You, “Fracton phases of matter,” International Journal of Modern Physics A 35
2020
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David Aasen, Daniel Bulmash, Abhinav Prem, Kevin Slagle, and Dominic J. Williamson, “Topological defect networks for fractons of all types,” Phys. Rev. Research 2
2020
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Juven Wang and Shing-Tung Yau, “Non-abelian gauged fracton matter field theory: Sigma models, superfluids, and vortices,” Phys. Rev. Research 2
2020
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David T. Stephen, José Garre-Rubio, Arpit Dua, and Dominic J. Williamson, “Subsystem symmetry enriched topological order in three dimensions,” Phys. Rev. Research 2
2020
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Juven Wang and Kai Xu, “Higher-rank tensor field theory of non-abelian fracton and embeddon,” Annals of Physics 424
2021
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Juven Wang, Kai Xu, and Shing-Tung Yau, “Higher-rank tensor non-abelian field theory: Higher-moment or subdimensional polynomial global symmetry, algebraic variety, noether’s theorem, and gauging,” Phys. Rev. Research 3
2021
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