PIRSA:13020140 Scientific Series Condensed Matter

DOI10.48660/13020140

Series: Quantum Matter

(2013). A K matrix construction of symmetry enriched phases. Perimeter Institute. https://pirsa.org/13020140

A K matrix construction of symmetry enriched phases. Perimeter Institute, Feb. 20, 2013, https://pirsa.org/13020140 

@misc{ pirsa_PIRSA:13020140,
  doi = {10.48660/13020140},
  url = {https://pirsa.org/13020140},
  author = {},
  keywords = {Condensed Matter},
  language = {en},
  title = {A K matrix construction of symmetry enriched phases},
  publisher = {Perimeter Institute},
  year = {2013},
  month = {feb},
  note = {PIRSA:13020140 see, \url{https://pirsa.org}}
}

Abstract

We construct in the K matrix formalism concrete examples of symmetry enriched topological phases, namely intrinsically topological phases with global symmetries. We focus on the Abelian and non-chiral topological phases and demonstrate by our examples how the interplay between the global symmetry and the fusion algebra of the anyons of a topologically ordered system determines the existence of gapless edge modes protected by the symmetry and that a (quasi)-group structure can be defined among these phases. Our examples include phases that display charge fractionalization and more exotic non-local anyon exchange under global symmetry that correspond to general group extensions of the global symmetry group.

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