AdS/CFT and gravity

被引:310
作者
Gubser, SS [1 ]
机构
[1] Harvard Univ, Lyman Lab Phys, Cambridge, MA 02138 USA
来源
PHYSICAL REVIEW D | 2001年 / 63卷 / 08期
关键词
D O I
10.1103/PhysRevD.63.084017
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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 hears 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(4)=2G(5)/L. Some upper bounds are set on the radius of curvature L of AdS(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 less than or similar to1 nm if the string scale is 1 GeV. Higher string scales imply a tighter bound on L.
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页数:13
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