1999/12/02 by J. de Boer, E. Verlinde, H. Verlinde · 2 citations
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1088/1126-6708/2000/08/003
published as JHEP 0008 (2000) 003 · 14 pages, no figures
arxiv created 1999/12/02 · arxiv updated 2009/11/30
We propose a direct correspondence between the classical evolution equations of 5-d supergravity and the renormalization group (RG) equations of the dual 4-d large N gauge theory. Using standard Hamilton-Jacobi theory, we derive first order flow equations for the classical supergravity action S, that take the usual form of the Callan-Symanzik equations, including the corrections due to the conformal anomaly. This result gives direct support for the identification of S with the quantum effective action of the gauge theory. In addition we find interesting new relations between the beta-functions and the counterterms that affect the 4-d cosmological and Newton constant.