paper

RG Fixed Points in Supergravity Duals of 4-d Field Theory and Asymptotically AdS Spaces

arXiv:hep-th/9903085 · doi:10.1016/S0370-2693(99)00394-9

Abstract

Recently, it has been conjectured that supergravity solutions with two asymptotically AdS regions describe the RG flow of a 4-d field theory from a UV fixed point to an interacting IR fixed point. In this paper we lend support to this conjecture by showing that, in the UV (IR) limit, the two-point function of a minimally-coupled scalar field depends only on the UV (IR) region of the metric, asymptotic to AdS_5. This result is consistent with the interpretation of the radial coordinate of Anti de Sitter space as an energy scale, and it may provide an analog of the Callan-Symanzik equation for supergravity duals of strongly coupled field theories.

9 pages, latex2e

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