Quantum double models and Dijkgraaf-Witten TQFT with defects

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 the (untwisted) Dijkgraaf-Witten TQFT with defects. This leads to a simple description in terms of embedded quivers, groupoids and their representations. Defect Dijkgraaf-Witten TQFT is then formulated in terms of spans of groupoids and their representations.

This is work in progress with João Faría Martins (University of Leeds).

mathematical physicsalgebraic topologycategory theoryquantum algebra

Audience: researchers in the topic

Topological Quantum Field Theory Club (IST, Lisbon)

Series comments: To receive the series announcements, which include the Zoom access password*, please register in
math.tecnico.ulisboa.pt/seminars/tqft/index.php?action=subscribe#subscribe
*the last announcement for a seminar is sent 2 hours before the seminar.
TQFT Club video channel: educast.fccn.pt/vod/channels/k0rk5qewc?locale=en