• Corpus ID: 239769230

On lattice models of gapped phases with fusion category symmetries

  title={On lattice models of gapped phases with fusion category symmetries},
  author={Kansei Inamura},
We construct topological quantum field theories (TQFTs) and commuting projector Hamiltonians for any 1+1d gapped phases with non-anomalous fusion category symmetries, i.e. finite symmetries that admit SPT phases. The construction is based on two-dimensional state sum TQFT whose input datum is anH-simple leftH-comodule algebra, whereH is a finite dimensional semisimple Hopf algebra. We show that the actions of fusion category symmetries C on the boundary conditions of these state sum TQFTs are… 
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