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Explore advanced concepts in theoretical physics through this seminar presentation delivered by Raquel Izquierdo Garcia from the Perimeter Institute for Theoretical Physics. Delve into the mathematical frameworks and physical principles underlying higher dimensional holographic theories, examining how holographic duality extends beyond the well-known AdS/CFT correspondence to encompass more complex dimensional structures. Investigate the theoretical foundations that connect gravity theories in higher-dimensional bulk spacetimes to quantum field theories on their lower-dimensional boundaries. Learn about the mathematical tools and techniques used to analyze these holographic relationships, including the role of conformal field theories, string theory, and gauge theories in higher-dimensional contexts. Examine current research developments in holographic entanglement entropy, holographic renormalization, and the emergence of spacetime geometry from quantum information. Discover how higher dimensional holography provides insights into fundamental questions about quantum gravity, black hole physics, and the nature of spacetime itself. Gain understanding of the computational methods and analytical approaches used to study holographic dualities in dimensions beyond the standard AdS₃/CFT₂ and AdS₅/CFT₄ examples, and explore potential applications to condensed matter physics and quantum many-body systems.
