Quantum Fields in anti-de Sitter space and the Maldacena conjecture

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We review in this lecture the relation between the Maldacena Conjecture, also known as AdS/CFT correspondence, and the so called Holographic principle that seems to be an essential ingredient for a quantum gravity theory. We also illustrate the idea of Holography by showing that the curvature of the anti-de Sitter space reduces the number of degrees of freedom making it possible to find a mapping between a quantum theory defined on the bulk and another defined on the corresponding boundary.
Talk presented at "XXII Brazilian National Meeting in Particles and Fields", Sao Lourenco, Brazil, October 22-26,2001, to appear in Braz. J. Phys

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