Dynamical generalization of Yetter’s model based on a crossed module of discrete groups

@article{Bochniak2020DynamicalGO,
  title={Dynamical generalization of Yetter’s model based on a crossed module of discrete groups},
  author={Arkadiusz Bochniak and Leszek Hadasz and Błażej Ruba},
  journal={Journal of High Energy Physics},
  year={2020},
  volume={2021},
  pages={1-52}
}
We construct a lattice model based on a crossed module of possibly non-abelian finite groups. It generalizes known topological quantum field theories, but in contrast to these models admits local physical excitations. Its degrees of freedom are defined on links and plaquettes, while gauge transformations are based on vertices and links of the underlying lattice. We specify the Hilbert space, define basic observables (including the Hamiltonian) and initiate a discussion on the model’s phase… 

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  • A. BochniakL. HadaszP. KorcylB. Ruba
  • Mathematics, Physics
    Journal of High Energy Physics
  • 2021
We study a simple lattice model with local symmetry, whose construction is based on a crossed module of finite groups. Its dynamical degrees of freedom are associated both to links and faces of a

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