Higher Symmetry Phenomenology

This 40-minute conference talk on "Higher Symmetry Phenomenology" by Nathaniel Craig from UCSB was recorded as part of the Generalized Symmetries: High-Energy, Condensed Matter and Mathematics KITP conference held from April 7-10, 2025 at the Kavli Institute for Theoretical Physics at UC Santa Barbara. Explore the significant progress made in quantum field theory over the past decade through the lens of symmetries interpreted as topological defects acting on operator spaces. Delve into this generalized notion of symmetries that has revealed unexpected physical effects across condensed matter, high energy physics, and quantum gravity. The conference brought together leading experts to share recent advances and open problems in the field, coordinated by Maissam Barkeshli, Michele Del Zotto, Sakura Schafer-Nameki, and Shu-Heng Shao.