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Topological Defect Networks for Fracton Models - IPAM at UCLA

Institute for Pure & Applied Mathematics (IPAM) via YouTube

Overview

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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.

Syllabus

Intro
Collaborators
Motivation
Topological Order
Fracton Models
References
The Defect Picture
The Execute Model
Fundamental Excitations
Outline
Anions
Locality
Modular tensor category
Fusion rule
Spacetime picture
F symbol
R symbol
Gauge and variant quantities
Gap boundaries
Example
Condensation of Defects
Local Defects
Mobility
Questions

Taught by

Institute for Pure & Applied Mathematics (IPAM)

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