PIRSA:23040157 Scientific Series Other

DOI10.48660/23040157

Chen, H. (2023). Grad Student Seminar with Hank Chen. Perimeter Institute. https://pirsa.org/23040157

Chen, Hank. Grad Student Seminar with Hank Chen. Perimeter Institute, Apr. 17, 2023, https://pirsa.org/23040157 

@misc{ pirsa_PIRSA:23040157,
  doi = {10.48660/23040157},
  url = {https://pirsa.org/23040157},
  author = {Chen, Hank},
  keywords = {Other},
  language = {en},
  title = {Grad Student Seminar with Hank Chen},
  publisher = {Perimeter Institute},
  year = {2023},
  month = {apr},
  note = {PIRSA:23040157 see, \url{https://pirsa.org}}
}

Abstract

Hank Chen, Perimeter Institute and University of Waterloo

Drinfel’d double symmetry of the 4d Kitaev model

We construct the 2-Drinfel'd double associated to a finite 2-group G, and compute its braided 2-category of 2-representations, in order to characterize the topological excitations in the 4d toric code and its spin-Z_2 variant. This work relates the categorical and field theoretical approaches toward characterizing higher-dimensional topological phases in existing literature. In particular, we show that particular twists of the underlying 2-Drinfel'd double is responsible for much of the higher-structural properties that arise in gapped topological phases in 4d. We emphasize that this work also displays the first ever instance of higher Tannakian duality for 2-categories.

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