Open AccessWhat do CFTs tell us about anti-de Sitter spacetimes?
Author(s) -
Vijay Balasubramanian,
Steven B. Giddings,
Albion Lawrence
Publication year - 1999
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/1999/03/001
Subject(s) - physics , conformal field theory , supergravity , anti de sitter space , mathematical physics , scattering amplitude , quantum gravity , quantum field theory , geodesic , unitarity , duality (order theory) , theoretical physics , quantum mechanics , conformal map , scattering , supersymmetry , quantum , mathematical analysis , mathematics , discrete mathematics
The AdS/CFT conjecture relates quantum gravity on Anti-de Sitter (AdS) spaceto a conformal field theory (CFT) defined on the spacetime boundary. Weinterpret the CFT in terms of natural analogues of the bulk S-matrix. Our firstapproach finds the bulk S-matrix as a limit of scattering from an AdS bubbleimmersed in a space admitting asymptotic states. Next, we show how theperiodicity of geodesics obstructs a standard LSZ prescription for scatteringwithin global AdS. To avoid this subtlety we partition global AdS into patcheswithin which CFT correlators reconstruct transition amplitudes of AdS states.Finally, we use the AdS/CFT duality to propose a large N collective fieldtheory that describes local, perturbative supergravity. Failure of locality inquantum gravity should be related to the difference between the collective 1/Nexpansion and genuine finite N dynamics.Comment: 33 pages, 7 figures, uses harvmac, reference adde
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