Classification of (3+1)D Bosonic Topological Orders: The Case When Pointlike Excitations Are All Bosons

  title={Classification of 
 Bosonic Topological Orders: The Case When Pointlike Excitations Are All Bosons},
  author={Tian Lan and Liang Kong and Xiao-Gang Wen},
  journal={Physical Review X},
Topological orders are new phases of matter beyond Landau symmetry breaking. They correspond to patterns of long-range entanglement. In recent years, it was shown that in 1+1D bosonic systems there is no nontrivial topological order, while in 2+1D bosonic systems the topological orders are classified by a pair: a modular tensor category and a chiral central charge. In this paper, we propose a partial classification of topological orders for 3+1D bosonic systems: If all the point-like… 
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