PIRSA:17040070 Scientific Series Other

DOI10.48660/17040070

Dittrich, B. (2017). Self-dual quantum geometries and four-dimensional TQFTs with defects. Perimeter Institute. https://pirsa.org/17040070

Dittrich, Bianca. Self-dual quantum geometries and four-dimensional TQFTs with defects. Perimeter Institute, Apr. 18, 2017, https://pirsa.org/17040070 

@misc{ pirsa_PIRSA:17040070,
  doi = {10.48660/17040070},
  url = {https://pirsa.org/17040070},
  author = {Dittrich, Bianca},
  keywords = {Other},
  language = {en},
  title = {Self-dual quantum geometries and four-dimensional TQFTs with defects},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {apr},
  note = {PIRSA:17040070 see, \url{https://pirsa.org}}
}

Abstract

We apply the recently suggested strategy to lift state spaces and operators for (2+1)-dimensional topological quantum field theories to state spaces and operators for a (3+1)-dimensional TQFT with defects. We start from the (2+1)-dimensional Turaev-Viro theory and obtain a state space, consistent with the state space expected from the Crane-Yetter model with line defects. This work has important applications for quantum gravity as well as the theory of topological phases in (3+1) dimensions.

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