The Low-Energy TQFT of the Generalized Double Semion Model

  title={The Low-Energy TQFT of the Generalized Double Semion Model},
  author={Arun Debray},
  journal={Communications in Mathematical Physics},
  • A. Debray
  • Published 8 November 2018
  • Mathematics
  • Communications in Mathematical Physics
The generalized double semion (GDS) model, introduced by Freedman and Hastings, is a lattice system similar to the toric code, with a gapped Hamiltonian whose definition depends on a triangulation of the ambient manifold M , but whose space of ground states does not depend on the triangulation, but only on the underlying manifold. In this paper, we use topological quantum field theory (TQFT) to investigate the low-energy limit of the GDS model. We define and study a functorial TQFT $$Z_{\mathrm… 

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