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

@article{Lan2018ClassificationO,
  title={Classification of 
(3+1)D
 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},
  year={2018}
}
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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58 Citations
Background Citations
15
Methods Citations
3

58 Citations

Classification of 3+1D Bosonic Topological Orders (II): The Case When Some Pointlike Excitations Are Fermions
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,…
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Abstract We study lattice Hamiltonian realisations of (3+1)d Dijkgraaf-Witten theory with gapped boundaries. In addition to the bulk loop-like excitations, the Hamiltonian yields bulk dyonic…
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