PIRSA:18080046 Conference Mathematical physics

DOI10.48660/18080046

Conference/School: Higher Algebra and Mathematical Physics

Debray, A. (2018). The low-energy TQFT of the generalized double semion model. Perimeter Institute. https://pirsa.org/18080046

Debray, Arun. The low-energy TQFT of the generalized double semion model. Perimeter Institute, Aug. 13, 2018, https://pirsa.org/18080046 

@misc{ pirsa_PIRSA:18080046,
  doi = {10.48660/18080046},
  url = {https://pirsa.org/18080046},
  author = {Debray, Arun},
  keywords = {Mathematical physics},
  language = {en},
  title = {The low-energy TQFT of the generalized double semion model},
  publisher = {Perimeter Institute},
  year = {2018},
  month = {aug},
  note = {PIRSA:18080046 see, \url{https://pirsa.org}}
}

Abstract

The generalized double semion model, introduced by Freedman and Hastings, is a lattice field theory similar to the toric code, with a gapped Hamiltonian whose space of ground states depends on the topology of the ambient manifold. In this talk, I’ll explain how to calculate its low-energy limit, which forms part of a topological field theory, in terms of characteristic classes of the ambient manifold.

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