A Variational Principle for Radial Flows in Holographic theories

2000/07/06 by Ratindranath Akhoury, R. Akhoury, Akhoury, R.
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0007041

28 pages, Latex

arxiv created 2000/07/06 · openalex publication_date 2000/07/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop furthur the correspondence between a d+1 dimensional theory and a d dimensional one with the "radial" (d+1)th corodinate ρplaying the role of an evolution parameter. We discuss the evolution of an effective action defined on a d dimensional surface charactarized by ρby 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.

Citations

• Universal upper bound on the entropy-to-energy ratio for bounded systems
• The world as a hologram

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