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Explore the theoretical foundations of Carrollian holography in this advanced physics lecture that examines the connection between Anti-de Sitter/Conformal Field Theory (AdS/CFT) correspondence and flat space holographic principles. Delve into cutting-edge research on how AdS/CFT duality can be extended to construct holographic descriptions of flat spacetime through Carrollian geometry, which emerges in the ultra-relativistic limit where the speed of light approaches zero. Learn about the mathematical frameworks and theoretical tools used to bridge curved AdS spaces with flat Minkowski spacetime, including the role of Carrollian conformal field theories as potential holographic duals. Examine the implications of this research for understanding quantum gravity, black hole physics, and the fundamental nature of spacetime geometry. Discover how this approach may provide new insights into the holographic principle beyond the traditional AdS/CFT paradigm and its potential applications in theoretical physics.
