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Explore the universality of heavy operators in matrix models through this theoretical physics seminar from the Institute for Advanced Study. Delve into the correspondence between generic heavy operators in large N theories and black holes in their gravity duals, examining how microscopic details become irrelevant in low energy theories. Investigate the strong coupling limit of the Hoppe model, a simple two-matrix system, using both analytical methods and Monte Carlo simulations to demonstrate the existence of a universal black hole regime characterized by parabolic eigenvalue densities and correlation functions determined by minimal parameters. Discover how matrices commute at strong coupling, enabling the definition of joint eigenvalue distributions that also exhibit universality, extending previous work by Berenstein, Hanada and Hartnoll. Learn about the sharp phase boundary between universal and non-universal regimes at strong coupling, and examine the phenomenon of Abelianization in the non-universal phase, where eigenvalues escape to infinity in a manner reminiscent of heavy dual giant gravitons in N=4 supersymmetric Yang-Mills theory.
