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Explore the fundamental concepts of anomalies in quantum field theories through this comprehensive lecture delivered by renowned physicist Ashoke Sen at the International Centre for Theoretical Sciences. Delve into the theoretical foundations that underpin our understanding of how symmetries can be broken in quantum systems, building upon concepts introduced in the first lecture of this series. Learn about the mathematical framework governing anomalies and their profound implications for both high-energy physics and condensed matter systems. Discover how anomalous behavior in quantum field theories connects to broader themes in modern physics, including the classification of quantum phases of matter and the emergence of exotic states like symmetry-protected topological phases. Gain insights into the sophisticated mathematical tools used to analyze these phenomena and understand their role in constraining physical theories. This lecture forms part of a comprehensive program on generalized symmetries and anomalies in quantum phases of matter, designed to provide both conceptual clarity and technical depth for researchers working at the intersection of quantum field theory and many-body physics.
