Brane Universes, AdS/CFT, Hamiltonian Formalism and the Renormalization Group
Abstract
The AdS/CFT correspondence is developed from classical solutions on AdS5 with two boundaries. The corresponding limits and the reduction of degrees of freedom are discussed, as well as the required renormalization on the field theory side. The Hamiltonian first-order approach towards the solution of coupled gravitational/matter equations of motion is introduced, and the RG interpretation is exposed. Finally we discuss a recent approach towards a naturally vanishing cosmological constant which is based on the AdS/RG correspondence.
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