# 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}
}
• Published 13 April 2017
• Mathematics
• 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…
58 Citations

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