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Explore advanced physical aspects of gauge theory in this 58-minute lecture delivered as part of the 2025 SCGCS School on Topological Symmetries and Defects in Quantum Field Theory. Delve into sophisticated theoretical concepts that build upon foundational gauge theory principles, examining the intricate relationships between symmetries, defects, and quantum field theoretical frameworks. Learn how gauge theories manifest in physical systems and discover the mathematical structures that govern their behavior. Investigate topological aspects of gauge fields and their role in modern theoretical physics, with particular emphasis on how these concepts apply to understanding quantum field theory phenomena. Gain insights into cutting-edge research developments in the field through detailed mathematical exposition and theoretical analysis presented by a leading expert from the University of California.
