AdS/CFT and gravity
The radiation-dominated k=0 FRW cosmology emerges as the induced metric on a codimension one hypersurface of constant extrinsic curvature in the five-dimensional AdS-Schwarzschild solution. That we should get FRW cosmology in this way is an expected result from AdS/CFT in light of recent comments regarding the coupling of gravity to ''boundary'' conformal field theories. I remark on how this calculation bears on the understanding of the Randall-Sundrum ''alternative to compactification.'' A generalization of the AdS/CFT prescription for computing Green's functions is suggested, and it is shown how gravity emerges from it with a strength G{sub 4}=2G{sub 5}/L. Some upper bounds are set on the radius of curvature L of AdS{sub 5}. One of them comes from estimating the rate of leakage of visible sector energy into the CFT. That rate is connected via a unitarity relation to deviations from Newton's force law at short distances. The best bound on L obtained in this paper comes from a match to the parameters of string theory. It is L{approx}<1nm if the string scale is 1GeV. Higher string scales imply a tighter bound on L.
- Sponsoring Organization:
- (US)
- OSTI ID:
- 40205097
- Journal Information:
- Physical Review D, Vol. 63, Issue 8; Other Information: DOI: 10.1103/PhysRevD.63.084017; Othernumber: PRVDAQ000063000008084017000001; 058024PRD; PBD: 15 Apr 2001; ISSN 0556-2821
- Publisher:
- The American Physical Society
- Country of Publication:
- United States
- Language:
- English
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