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Explore the mathematical relationship between Carrollian physics and anti-de Sitter spacetime in this advanced theoretical physics lecture delivered at the Galileo Galilei Institute. Delve into the derivation and properties of Carrollian momenta as they emerge from anti-de Sitter geometry, examining the fundamental connections between these two important concepts in modern gravitational theory. Learn about the mathematical frameworks that link Carrollian structures—which describe physics in the ultra-relativistic limit where the speed of light approaches zero—with the curved spacetime geometry of anti-de Sitter space. Discover how momentum concepts translate between these different physical regimes and gain insights into the broader implications for theoretical physics, including potential applications to holographic duality and quantum gravity research.
