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Brane Universes, AdS/CFT, Hamiltonian Formalism and the Renormalization Group

U. Ellwanger
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Abstract

The AdS/CFT correspondence is developed from classical solutions on AdS_5 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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U. Ellwanger. 2000-09-01. Brane Universes, AdS/CFT, Hamiltonian Formalism and the Renormalization Group. https://arxiv.org/abs/hep-th/0009006

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