A Variational Principle for Radial Flows in Holographic theories

Details A Variational Principle for Radial Flows in Holographic theories A Variational Principle for Radial Flows in Holographic theories

2000-07-06

arxiv.org/abs/hep-th/0007041v1

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, Latex

Scientific paper

We develop furthur the correspondence between a d+1 dimensional theory and a d dimensional one with the "radial" (d+1)th corodinate \rho playing the role of an evolution parameter. We discuss the evolution of an effective action defined on a d dimensional surface charactarized by \rho by means of a new variational principle. The conditions under which the flow equations are valid are discussed in detail as is the choice of boundary conditions. It is explained how domain walls may be incorporated in the framework and some generalized junction conditions are obtained. The general principles are illustrated on the example of a supergravity theory on AdS_{d+1}.

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