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

@article{Lan2019ClassificationO,
title={Classification of
3+1D
Bosonic Topological Orders (II): The Case When Some Pointlike Excitations Are Fermions},
author={Tian Lan and Xiao-Gang Wen},
journal={Physical Review X},
year={2019}
}
• 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…
30 Citations

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