PIRSA:13050033 Conference Quantum Fields and Strings

DOI10.48660/13050033

Conference/School: Emergence & Entanglement II 2013

Chen, X. (2013). Impossible symmetry enriched topological phases in 2D and their realization on 3D surface. Perimeter Institute. https://pirsa.org/13050033

Chen, Xie. Impossible symmetry enriched topological phases in 2D and their realization on 3D surface. Perimeter Institute, May. 07, 2013, https://pirsa.org/13050033 

@misc{ pirsa_PIRSA:13050033,
  doi = {10.48660/13050033},
  url = {https://pirsa.org/13050033},
  author = {Chen, Xie},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Impossible symmetry enriched topological phases in 2D and their realization on 3D surface},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {may},
  note = {PIRSA:13050033 see, \url{https://pirsa.org}}
}

Abstract

In quantum systems with symmetry, the same topological phase can be enriched by symmetry in different ways, resulting in different symmetry transformations of the superselection sectors in the phase. However, not all symmetry transformations are allowed on the superselection sectors in topological phases in purely 2D systems. In this talk, I will discuss some examples of such symmetry enrichment of topological phases, which seem to be consistent with the fusion and braiding rules of the superselection sectors in the theory but are nonetheless impossible to realize in 2D. Interestingly, we show further that they can be realized on the surface of a 3D gapped system with a topologically trivial bulk.

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