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Explore advanced concepts in theoretical physics through this 48-minute conference talk examining the intricate relationships between character expansions, line defects, and S-duality in quantum field theory. Delve into the mathematical frameworks that govern these phenomena and understand how character expansions provide powerful tools for analyzing quantum field theories with defects. Investigate the role of line defects in conformal field theories and their behavior under S-duality transformations, gaining insights into the deep symmetries that connect seemingly different physical systems. Learn about the computational techniques used to study these objects and their applications in understanding the non-perturbative aspects of gauge theories and string theory.
