PIRSA:17040070

Self-dual quantum geometries and four-dimensional TQFTs with defects

APA

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

MLA

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

BibTex

          @misc{ pirsa_17040070,
            doi = {},
            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.