Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-02-08
JHEP 9903 (1999) 001
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, 7 figures, uses harvmac, reference added
Scientific paper
10.1088/1126-6708/1999/03/001
The AdS/CFT conjecture relates quantum gravity on Anti-de Sitter (AdS) space to a conformal field theory (CFT) defined on the spacetime boundary. We interpret the CFT in terms of natural analogues of the bulk S-matrix. Our first approach finds the bulk S-matrix as a limit of scattering from an AdS bubble immersed in a space admitting asymptotic states. Next, we show how the periodicity of geodesics obstructs a standard LSZ prescription for scattering within global AdS. To avoid this subtlety we partition global AdS into patches within which CFT correlators reconstruct transition amplitudes of AdS states. Finally, we use the AdS/CFT duality to propose a large N collective field theory that describes local, perturbative supergravity. Failure of locality in quantum gravity should be related to the difference between the collective 1/N expansion and genuine finite N dynamics.
Balasubramanian Vijay
Giddings Steven B.
Lawrence Albion
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