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Explore the hidden symmetries of Yang-Mills theory in four-dimensional spacetime through this conference talk delivered by Luiz Agostinho Ferreira as part of the Program on Anomalies, Topology and Quantum Information in Field Theory and Condensed Matter Physics at ICTP-SAIFR. Delve into the mathematical structures and symmetry properties that underlie Yang-Mills gauge theory in (3+1)-dimensional spacetime, examining how these hidden symmetries reveal deeper connections between field theory, topology, and quantum information. Discover the theoretical foundations that connect gauge field dynamics to broader concepts in modern theoretical physics, including their implications for understanding quantum field theory and condensed matter systems. Learn about the sophisticated mathematical framework that governs non-Abelian gauge theories and their role in describing fundamental interactions, while gaining insights into how symmetry principles shape our understanding of quantum field dynamics in four dimensions.
