Unified framework of topological phases with symmetry

Yuxiang Gu; L. Hung; Y. Wan

DOI:10.1103/PhysRevB.90.245125

Corpus ID: 119155244

Unified framework of topological phases with symmetry

@article{Gu2014UnifiedFO,
  title={Unified framework of topological phases with symmetry},
  author={Yuxiang Gu and L. Hung and Y. Wan},
  journal={Physical Review B},
  year={2014},
  volume={90},
  pages={245125}
}

Yuxiang Gu, L. Hung, Y. Wan

Published 2014

Physics, Mathematics

Physical Review B

In topological phases in $2+1$ dimensions, anyons fall into representations of quantum group symmetries. As proposed in our work (arXiv:1308.4673), physics of a symmetry enriched phase can be extracted by the Mathematics of (hidden) quantum group symmetry breaking of a "parent phase". This offers a unified framework and classification of the symmetry enriched (topological) phases, including symmetry protected trivial phases as well. In this paper, we extend our investigation to the case where… CONTINUE READING

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