The LargeN Limit of Superconformal Field Theories and Supergravity
Abstract
We show that the largeN limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of antide Sitter spacetimes, spheres, and other compact manifolds. This is shown bytaking some branes in the full M/string theory and thentaking a lowenergy limit where the field theory on thebrane decouples from the bulk. We observe that, in this limit, we can still trust thenearhorizon geometry for large N. The enhancedsupersymmetries of the nearhorizon geometry correspondto the extra supersymmetry generators present in thesuperconformal group (as opposed to just the superPoincaregroup). The 't Hooft limit of 3 + 1 N = 4 superYang?Mills at the conformal pointis shown to contain strings: they are IIB strings. Weconjecture that compactifications of M/string theory on various antide Sitterspacetimes is dual to various conformal field theories.This leads to a new proposal for a definition ofMtheory which could be extended to include fivenoncompact dimensions.
 Publication:

International Journal of Theoretical Physics
 Pub Date:
 1999
 DOI:
 10.1023/A:1026654312961
 arXiv:
 arXiv:hepth/9711200
 Bibcode:
 1999IJTP...38.1113M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 20 pages, harvmac, v2: section on AdS_2 corrected, references added, v3: More references and a sign in eqns 2.8 and 2.9 corrected