Exactly solvable models for U(1) symmetry-enriched topological phases

Qing-Rui Wang Department of Physics, Yale University, New Haven, CT 06511-8499, USA Meng Cheng Department of Physics, Yale University, New Haven, CT 06511-8499, USA

arXiv subject: High Energy Physics - Theory (hep-th) arXiv subject: Strongly Correlated Electrons (cond-mat.str-el) mathscidoc:2206.74023

2021.5
We propose a general construction of commuting projector lattice models for 2D and 3D topological phases enriched by U(1) symmetry, with finite-dimensional Hilbert space per site. The construction starts from a commuting projector model of the topological phase and decorates U(1) charges to the state space in a consistent manner. We show that all 2D U(1) symmetry-enriched topological phases which allow gapped boundary without breaking symmetry, can be realized through our construction. We also construct a large class of 3D topological phases with U(1) symmetry fractionalized on particles or loop excitations.
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@inproceedings{qing-rui2021exactly,
  title={Exactly solvable models for U(1) symmetry-enriched topological phases},
  author={Qing-Rui Wang, and Meng Cheng},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220616165717848451398},
  year={2021},
}
Qing-Rui Wang, and Meng Cheng. Exactly solvable models for U(1) symmetry-enriched topological phases. 2021. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220616165717848451398.
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