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The large N limit of superconformal field theories and supergravity (1998)
| Citations: | 5608 - 20 self |
BibTeX
@MISC{Maldacena98thelarge,
author = {Juan Maldacena},
title = {The large N limit of superconformal field theories and supergravity},
year = {1998}
}
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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 super-Poincare group). The ’t Hooft limit of 3+1 N = 4 super-Yang-Mills 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 is dual to various conformal field theories. This leads to a new proposal for a definition of M-theory which could be extended to include five or four non-compact dimensions. 1
Keyphrases
large limit superconformal field theory new proposal compact manifold certain conformal field theory super-poincare group non-compact dimension iib string hooft limit near horizon geometry correspond superconformal group brane decouples field theory various antidesitter spacetimes antidesitter spacetimes conformal point low energy limit near horizon geometry enhanced supersymmetry various dimension hilbert space extra supersymmetry generator various conformal field theory full string theory
