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

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.

Event Type: 
Scientific Area(s): 
Event Date: 
Tuesday, April 18, 2017 - 10:00 to 11:30
Alice Room
Room #: