The largeN limit of superconformal field theories and supergravity
Abstract
The author shows that the largeN limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of antide Sitter spacetimes, spheres, and other compact manifolds. This is shown by taking some branes in the full M/string theory and then taking a lowenergy limit where the field theory on the brane decouples from the bulk. He observes that, in this limit, he can still trust the nearhorizon geometry for large N. The enhanced supersymmetries of the nearhorizon geometry correspond to the extra supersymmetry generators present in the superconformal group (as opposed to just the superPoincare group). The `t Hooft limit of 3 + 1 N = 4 superYangMills at the conformal point is shown to contain strings: they are IIB strings. He conjectures that compactifications of M/string theory on various antide Sitter spacetimes is 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.
 Authors:
 Harvard Univ., Cambridge, MA (United States). Lyman Lab. of Physics
 Publication Date:
 Sponsoring Org.:
 USDOE, Washington, DC (United States)
 OSTI Identifier:
 361743
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: International Journal of Theoretical Physics; Journal Volume: 38; Journal Issue: 4; Other Information: PBD: Apr 1999
 Country of Publication:
 United States
 Language:
 English
 Subject:
 66 PHYSICS; QUANTUM FIELD THEORY; CONFORMAL INVARIANCE; SUPERGRAVITY; SUPERSYMMETRY; STRING MODELS; SPACETIME; COMPACTIFICATION
Citation Formats
Maldacena, J. The largeN limit of superconformal field theories and supergravity. United States: N. p., 1999.
Web. doi:10.1023/A:1026654312961.
Maldacena, J. The largeN limit of superconformal field theories and supergravity. United States. doi:10.1023/A:1026654312961.
Maldacena, J. Thu .
"The largeN limit of superconformal field theories and supergravity". United States.
doi:10.1023/A:1026654312961.
@article{osti_361743,
title = {The largeN limit of superconformal field theories and supergravity},
author = {Maldacena, J.},
abstractNote = {The author shows that the largeN limits of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of antide Sitter spacetimes, spheres, and other compact manifolds. This is shown by taking some branes in the full M/string theory and then taking a lowenergy limit where the field theory on the brane decouples from the bulk. He observes that, in this limit, he can still trust the nearhorizon geometry for large N. The enhanced supersymmetries of the nearhorizon geometry correspond to the extra supersymmetry generators present in the superconformal group (as opposed to just the superPoincare group). The `t Hooft limit of 3 + 1 N = 4 superYangMills at the conformal point is shown to contain strings: they are IIB strings. He conjectures that compactifications of M/string theory on various antide Sitter spacetimes is 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.},
doi = {10.1023/A:1026654312961},
journal = {International Journal of Theoretical Physics},
number = 4,
volume = 38,
place = {United States},
year = {Thu Apr 01 00:00:00 EST 1999},
month = {Thu Apr 01 00:00:00 EST 1999}
}

We show that the large {ital 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 {ital N}. The enhanced supersymmetries of the near horizon geometry correspond to the extra supersymmetry generators present inmore »

The large N limit of superconformal field theories and supergravity
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