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Explore advanced theoretical physics concepts in this lecture that delves into Sachdev-Ye-Kitaev (SYK) models and their applications to understanding strange metal behavior in condensed matter systems. Learn about the mathematical framework of SYK models, which describe strongly interacting fermions without quasiparticles, and discover how these models provide insights into the physics of strange metals - materials that exhibit unusual transport properties that deviate from conventional Fermi liquid theory. Examine the connections between quantum chaos, black hole physics, and condensed matter systems through the lens of SYK models, and understand how these theoretical tools help explain the anomalous behavior observed in high-temperature superconductors and other strongly correlated electron systems. Gain insight into cutting-edge research at the intersection of quantum field theory, statistical mechanics, and condensed matter physics as part of the Boulder Summer School's comprehensive physics curriculum.
