RG Fixed Points in Supergravity Duals of 4-d Field Theory and Asymptotically AdS Spaces
High Energy Physics - Theory
2009-10-31 v1
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.
Cite
@article{arxiv.hep-th/9903085,
title = {RG Fixed Points in Supergravity Duals of 4-d Field Theory and Asymptotically AdS Spaces},
author = {M. Porrati and A. Starinets},
journal= {arXiv preprint arXiv:hep-th/9903085},
year = {2009}
}
Comments
9 pages, latex2e