PIRSA:24030081 Conference Condensed Matter

DOI10.48660/24030081

Conference/School: Higher Categorical Tools for Quantum Phases of Matter

(2024). Quantum double models and Dijkgraaf-Witten theory with defects. Perimeter Institute. https://pirsa.org/24030081

Quantum double models and Dijkgraaf-Witten theory with defects. Perimeter Institute, Mar. 19, 2024, https://pirsa.org/24030081 

@misc{ pirsa_PIRSA:24030081,
  doi = {10.48660/24030081},
  url = {https://pirsa.org/24030081},
  author = {},
  keywords = {Condensed Matter},
  language = {en},
  title = {Quantum double models and Dijkgraaf-Witten theory with defects},
  publisher = {Perimeter Institute},
  year = {2024},
  month = {mar},
  note = {PIRSA:24030081 see, \url{https://pirsa.org}}
}

Abstract

We use 3d defect TQFTs and state sum models with defects to give a gauge theoretical formulation of Kitaev's quantum double model (for a finite group) and (untwisted) Dijkgraaf-Witten TQFT with defects. This leads to a simple description in terms of embedding quivers, groupoids and their representations. Defect Dijkgraaf-Witten TQFTs is then formulated in terms of spans of groupoids and their representations. This is work in progress with João Faría-Martins, University of Leeds.

Resources

Next talk

Related Talks