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Explore the fundamental principles of AdS₃/CFT₂ correspondence in this comprehensive lecture focusing on how symmetries drive holographic relationships between three-dimensional Anti-de Sitter space and two-dimensional conformal field theory. Delve into the mathematical framework that connects gravitational theories in AdS₃ with conformal field theories on its boundary, examining how symmetry principles provide powerful tools for understanding this holographic duality. Learn from Cambridge University's Alejandra Castro as she presents the first installment of this advanced physics series, covering essential concepts that form the foundation for understanding how symmetries govern the correspondence between bulk gravitational physics and boundary quantum field theory. Gain insights into the theoretical underpinnings that make AdS₃/CFT₂ one of the most tractable examples of the AdS/CFT correspondence, with particular emphasis on how symmetry considerations simplify complex calculations and reveal deep connections between seemingly different physical theories.
