Quantum Double Edge: Configuration Spaces and Anyonic Excitations

This lecture by the instructor covers the topic of quantum double edge, focusing on continuous-variable configuration spaces and nonabelian configuration spaces. It discusses the motivation behind studying topological defects for quantum computation, prior work on the toric code, and the effective edge theory of quantum double. The lecture also delves into the concept of gapped edges, flattened ribbons, Jordan-Wigner operators, and quantum wires in both abelian and nonabelian cases. It concludes with a summary of anyonic strings, the continuum version of nonabelian cases, and open questions regarding the development of microscopic models for general defects.