Commuting projector models for ( 3+1 )-dimensional topological superconductors via a string net of ( 1+1 )-dimensional topological superconductors

@article{Kobayashi2020CommutingPM,
  title={Commuting projector models for (
3+1
)-dimensional topological superconductors via a string net of (
1+1
)-dimensional topological superconductors},
  author={Ryohei Kobayashi},
  journal={Physical Review B},
  year={2020},
  volume={102},
  pages={075135}
}
We discuss a way to construct a commuting projector Hamiltonian model for a ($3+1$)-dimensional topological superconductor in class DIII. The wave function is given by a sort of string net of the Kitaev wire, decorated on the time-reversal ($T$) domain wall. Our Hamiltonian is provided on a generic three-dimensional (3D) manifold equipped with a discrete form of the spin structure. We will see how the 3D spin structure induces a 2D spin structure (called a ``Kasteleyn'' direction on a 2D… Expand
Disentangling supercohomology symmetry-protected topological phases in three spatial dimensions
We build exactly solvable lattice Hamiltonians for fermionic symmetry-protected topological (SPT) phases in (3+1)D classified by group supercohomology. A central benefit of our construction is thatExpand

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