Emergent Symmetry: Understanding Strongly Interacting Gapless States and Quantum Field Theory

Explore a Stanford Physics colloquium talk that delves into emergent symmetry as a novel approach to understanding strongly interacting gapless states and quantum field theory. Discover how generalizing symmetry to include anomalous non-invertible ones can largely characterize gapless states. Learn about the modern understanding of anomalous and non-invertible symmetry through the lens of conservation laws and selection rules. Examine how generalized symmetry can determine low energy properties of gapless liquid states. Gain insights into various quantum methods, group theory, categorical symmetry, spontaneous symmetry, mutual statistics, topological order, and quantitative descriptions of modular environments. Investigate hardware considerations and model examples to further grasp these complex concepts in quantum physics.

Introduction
Welcome
Three Quantum Methods
Systematic Theory
Group Theory
Developing a General Theory
Example
Categorical symmetry
Spontaneous symmetry
Mutual statistics
Topology order
nonlagrony
quantitative description
modular environment
hardware
model example