Quantitative Tests of Maldacena's Conjecture
Maldacena has conjectured a relation between certain string/M theory
backgrounds involving AdS spaces and certain conformal theories. We
assume that the AdS compactifications can be used to define conformal
theories, and review the quantitative evidence for these conformal
theories indeed being the same as their conjectured duals. There is
substantial evidence that the theories are the same in the large N limit,
but hardly any direct evidence for duality at finite N. The discussion
is limited to theories in 2+1 dimensions or more.
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