18–22 Mar 2024
Perimeter Institute for Theoretical Physics
America/Toronto timezone

Quantum double models and Dijkgraaf-Witten theory with defects

19 Mar 2024, 09:15
1h
PI/4-405 - Bob Room (Perimeter Institute for Theoretical Physics)

PI/4-405 - Bob Room

Perimeter Institute for Theoretical Physics

60

Speaker

Catherine Meusburger (FAU Erlangen-Nürnberg)

Description

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.

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