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PIRSA:17040070

Video URL

https://pirsa.org/17040070

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

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

Bianca Dittrich Perimeter Institute for Theoretical Physics

Talk numberPIRSA:17040070
DOI10.48660/17040070
Source RepositoryPIRSA
Talk Type Scientific Series
Subject

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.