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PIRSA:17080004

From 3D TQFTs to 4D models with defects

APA

Dittrich, B. (2017). From 3D TQFTs to 4D models with defects. Perimeter Institute for Theoretical Physics. https://pirsa.org/17080004

Bianca Dittrich Perimeter Institute for Theoretical Physics

Talk numberPIRSA:17080004

Abstract

I will explain a general strategy to lift (2+1)D topological phases, in particular string nets, to (3+1)D models with line defects. This allows a systematic construction of (3+1)D topological theories with defects, including an improved version of the Walker-Wang Model. It has also an interesting application to quantum gravity as it leads to quantum geometry realizations for which all geometric operators have discrete and bounded spectra. I will furthermore comment on some interesting (self-) duality relations that emerge in these constructions.