• Corpus ID: 244729797

Towards topological fixed-point models beyond gappable boundaries

@inproceedings{Bauer2021TowardsTF,
  title={Towards topological fixed-point models beyond gappable boundaries},
  author={Andreas Bauer and Jens Eisert and Carolin Wille},
  year={2021}
}
We consider fixed-point models for topological phases of matter formulated as discrete path integrals in the language of tensor networks. Such zero-correlation length models with an exact notion of topological invariance are known in the mathematical community as state-sum constructions or lattice topological quantum field theories. All of the established ansatzes for fixed-point models imply the existence of a gapped boundary as well as a commuting-projector Hamiltonian. Thus, they fail to… 

Disentangling modular Walker-Wang models via fermionic invertible boundaries

Walker-Wang models are fixed-point models of topological order in 3 + 1 dimensions constructed from a braided fusion category. For a modular input category M, the model itself is invertible and is

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