PIRSA:17080004

From 3D TQFTs to 4D models with defects

APA

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

MLA

Dittrich, Bianca. From 3D TQFTs to 4D models with defects. Perimeter Institute, Aug. 04, 2017, https://pirsa.org/17080004

BibTex

          @misc{ pirsa_17080004,
            doi = {},
            url = {https://pirsa.org/17080004},
            author = {Dittrich, Bianca},
            keywords = {Quantum Foundations, Quantum Information},
            language = {en},
            title = {From 3D TQFTs to 4D models with defects},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {aug},
            note = {PIRSA:17080004 see, \url{https://pirsa.org}}
          }
          

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.