Abstract: Anomaly matching is one of the few universally applicable tools to constrain the dynamics of strongly coupled quantum systems. I will give an overview of 't Hooft anomalies and their applications. Anomalies arise in a wide range of physical systems, ranging from pedagogical quantum mechanical models to Heisenberg spin chains to quantum chromodynamics. I will then discuss implications of anomalies in gapless phases described by conformal field theory. Using the conformal bootstrap techniques, I will prove rigorous constraints on the spectrum from anomalies.
Dr. Shao is a quantum field theorist, with a 2016 PhD, presently a long-term member of the IAS, Princeton. He explores foundational issues in quantum field theory, and has worked on a variety of topics including anomalies, conformal field theories and dualities.
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Anomalies: From Magnets to the Nuclear Force
Shu-Heng Shao, Institute of Advanced Study, Princeton
Monday, January 13, 2020 - 4:00pm to 5:00pm