Topological Defect Networks for Fracton Models - IPAM at UCLA

Explore the intricacies of fracton models in this comprehensive lecture by David Aasen from Microsoft Station Q, presented at IPAM's Graduate Summer School on Mathematics of Topological Phases of Matter. Delve into topological defect networks, beginning with an introduction to topological order and fracton models. Examine the defect picture, the Execute model, and fundamental excitations. Investigate anions, locality, and modular tensor categories, including fusion rules and spacetime pictures. Learn about F and R symbols, gauge and variant quantities, and gap boundaries. Discover the condensation of defects, local defects, and mobility concepts. Conclude with a Q&A session to reinforce understanding of these complex topics in topological physics.