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Explore non-invertible self-duality symmetries on tensor product Hilbert spaces in this 42-minute conference talk by Nathanan Tantivasadakarn from Caltech. Delve into advanced concepts in quantum field theory where symmetries are interpreted through the action of topological defects on operator spaces, representing a significant generalization of traditional symmetry notions. Examine how this framework has revolutionized understanding across condensed matter physics, high-energy physics, and quantum gravity over the past decade. Learn about the mathematical foundations and physical implications of non-invertible symmetries, particularly focusing on their manifestation in tensor product Hilbert space structures. Gain insights into cutting-edge research that bridges theoretical physics and mathematics, exploring the rich landscape of physical effects that emerge from these generalized symmetry concepts. The presentation was delivered as part of the Generalized Symmetries: High-Energy, Condensed Matter and Mathematics conference at the Kavli Institute for Theoretical Physics, bringing together leading experts to discuss the most recent advances and open problems in this rapidly evolving field.
