Weak Hopf Symmetry and Quantum Double Model Theory

Explore a comprehensive lecture on weak Hopf symmetry and quantum double models presented at the BIMSA-Tsinghua Quantum Symmetry Seminar. Delve into the extension of symmetry concepts through weak Hopf algebra, particularly relevant for anyonic quantum systems, and understand the development of weak Hopf symmetry breaking theory based on anyon fusion sets. Learn about the detailed investigation of quantum double models built on weak Hopf algebra, including their vacuum sector properties, gapped boundary theories, and domain wall constructions. Discover the implementation of weak Hopf tensor network states and their application in solving quantum double lattice models on various surfaces. Presented by Dr. Sheng Tan, a BIMSA postdoctoral researcher specializing in topological and algebraic quantum field theories, this talk synthesizes collaborative research findings published in recent arxiv papers, offering deep insights into quantum symmetry applications.