The Large N Limit of Superconformal Field Theories and Supergravity
Abstract
We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of AntideSitter spacetimes, spheres and other compact manifolds. This is shown by taking some branes in the full M/string theory and then taking a low energy limit where the field theory on the brane decouples from the bulk. We observe that, in this limit, we can still trust the near horizon geometry for large N. The enhanced supersymmetries of the near horizon geometry correspond to the extra supersymmetry generators present in the superconformal group (as opposed to just the superPoincare group). The 't Hooft limit of 4d N =4 superYangMills at the conformal point is shown to contain strings: they are IIB strings. We conjecture that compactifications of M/string theory on various AntideSitter spacetimes are dual to various conformal field theories. This leads to a new proposal for a definition of Mtheory which could be extended to include five noncompact dimensions.
 Publication:

Advances in Theoretical and Mathematical Physics
 Pub Date:
 1998
 DOI:
 10.4310/ATMP.1998.v2.n2.a1
 Bibcode:
 1998AdTMP...2..231M