Physics of symmetry protected topological phases involving higher symmetries and its applications

  title={Physics of symmetry protected topological phases involving higher symmetries and its applications},
  author={Chao-Ming Jian and Xiao-Chuan Wu and Yichen Xu and Cenke Xu},
  journal={Physical Review B},
We discuss physical constructions and the boundary properties of various symmetry-protected topological phases that involve 1-form symmetries from one spatial dimension to four spatial dimensions ($4d$). For example, the prototype three-dimensional ($3d$) boundary state of $4d$ SPT states involving 1-form symmetries can be either a gapless photon phase (quantum electrodynamics) or gapped topological order enriched by 1-form symmetries; that is, the loop excitations of these topological orders… Expand

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  • X. Wen
  • Physics
  • Physical Review B
  • 2019
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