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

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

1999-03-10

arxiv.org/abs/hep-th/9903085v1

Phys.Lett. B454 (1999) 77-83

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, latex2e

Scientific paper

10.1016/S0370-2693(99)00394-9

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.

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