Coupled-wire models of non-Abelian topological orders in 3D

Topological order corresponds to patterns of long-range entanglement in ground-states. The point-like and line-like excitations in 3D topologically ordered states can have fractional charge and spin degrees of freedom giving rise to fractional quantum statistics. In this work, we study 3D non-Abelian topological order via coupled-wire construction. By putting the wire configuration on a closed manifold, we study the properties of ground states and the Wilson algebra of various excitations. We study the topological order of previously proposed coupled-wire models of symmetry-preserving gapped Dirac (semi)metal and Dirac superconductor. We also study new non-Abelian topologically ordered states that inherit their topological properties from conformal field theories like SO(3)₃.