Classification of 3+1D Bosonic Topological Orders (II): The Case When Some Pointlike Excitations Are Fermions

  title={Classification of 
 Bosonic Topological Orders (II): The Case When Some Pointlike Excitations Are Fermions},
  author={Tian Lan and Xiao-Gang Wen},
  journal={Physical Review X},
  • T. Lan, X. Wen
  • Published 25 January 2018
  • Mathematics
  • Physical Review X
We call a topological order of 3+1-dimensional bosonic systems an all-boson (AB) topological order if all emergent point-like excitations are bosons. It was shown that AB topological orders, $\mathcal C^4_{AB}$, are classified by unitary pointed fusion 2-categories with only trivial 1-morphisms. In fact, AB topological orders can all be realized by Dijkgraaf-Witten gauge theories. In this paper, we consider emergent-fermion (EF) topological orders for 3+1D bosonic systems where some emergent… 
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