CoChat
Sign Up
Cited by 14,524Black Holes and Theoretical PhysicsAlgebraic structures and combinatorial modelsParticle physics theoretical and experimental studies

The large $N$ limit of superconformal field theories and supergravity

Open access
Maldacena, Juan·1998·Advances in Theoretical and Mathematical Physics
DOI 10.4310/atmp.1998.v2.n2.a1
Open this paper in CoChat — free accountOpen PDF

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 Anti-deSitter 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 J\f = 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 Anti-deSitter 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 noncompact dimensions. General IdeaIn the last few years it has been extremely fruitful to derive quantum field theories by taking various limits of string or M-theory.In some cases this

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.4310/atmp.1998.v2.n2.a1

Cites

4 of 4 references verified0 citation errors · 0 not checkable

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

Flagged first, then by citations

Research works printed but not linked: 22

  1. [1][1] J. Maldacena and A. Strominger, hep-th/9710014. - · arXiv
  2. [7][7] A. Salam and E. Sezgin, "Supergravities in Diverse Dimensions", Vol. 1 and 2, North-Holland 1989. Look for "gauged" supergravities. -
  3. [12][12] M. Duff, G. Gibbons and P. Townsend, hep-th/9405124. - · arXiv
  4. [15][15] G. Gibbons, G. Horowitz and P. Townsend, hep-th/9410073. - · arXiv
  5. [17][17] M. Douglas, J. Polchinski and A. Strominger, hep-th/9703031. - · arXiv
  6. [18][18] M. Aganagic, C. Popescu and J. Schwarz, Nucl. Phys. B495 (1997) 99, hep-th/9612080. - · arXiv
  7. [21][21] A. Polyakov, hep-th/9711002. - · arXiv
  8. [22][22] T. Banks, W. Fishler, I. Klebanov and L. Susskind, hep-th/9709091. - · arXiv
  9. [26][26] S. Gubser and I. Klebanov, hep-th/9708005. - · arXiv
  10. [31][31] J. Maldacena, Proceedings of Strings'97, hep-th/9709099. - · arXiv
  11. [34][34] N. Seiberg, hep-th/9705117. - · arXiv
  12. [47][47] E. Witten, hep-th/9707093. - · arXiv
  13. [50][50] H. Boonstra, B. Peeters and K. Skenderis, hep-th/9706192 - · arXiv
  14. [51][51] K. Sfetsos and K. Skenderis, hep-th/9711138. - · arXiv
  15. [52][52] S. Hellerman and J. Polchinski, hep-th/9711037. - · arXiv
  16. [54][54] A. Dhar, G. Mandal and S. Wadia Phys. Lett. B388 (1996) 51; S. Das and S. Mathur, Nucl. Phys. B478 (1996) 561; Nucl. Phys. B482 (1996) 153; J. Maldacena and A. Strominger, Phys. Rev. D55 (1997) 861; S. Gubser, I. Klebanov, Nucl. Phys. B482 (1996) 173; C. Callan, Jr., S. Gubser, I. Klebanov and A. Tseytlin, Nucl. Phys. B489 (1997) 65; I. Klebanov and M. Krasnitz, Phys. Rev. D55 (1997) 3250; I. Klebanov, A. Rajaraman and A. Tseytlin, Nucl. Phys. B503 (1997) 157; S. Gubser, hep-th/9706100; H. Lee, Y. Myung and J. Kim, hep-th/9708099; K. Hosomichi, hep-th/9711072. - · arXiv
  17. [55][55] D. Birmingham, I. Sachs and S. Sen, hep-th/9707188. - · arXiv
  18. [56][56] M. Cvetic and F. Larsen, Phys. Rev. D56 (1997) 4994; hep-th/9706071. - · arXiv
  19. [57][57] J. Maldacena, A. Strominger and E. Witten, hep-th/9711053. - · arXiv
  20. [61][61] T. Banks, W. Fischler, S. Shenker and L. Susskind, hep-th/9610043. - · arXiv
  21. [64][64] R. Kallosh, J. Kumar and A. Rajaraman, hep-th/9712073. - · arXiv
  22. [65][65] S. Hawking and J. Ellis, "The large scale structure of spacetime", Cambrige Univ. Press 1973, and references therein.

Cited by

Sorted by citations

Authors
Maldacena, J.
Affiliations
Harvard University (US)
Corresponding author
Maldacena, Juan
ORCID
Maldacena, Juan
Venue
Advances in Theoretical and Mathematical Physics
Publisher
International Press of Boston
Published
1998
Volume
2
Issue
2
Pages
231-252
ISSN
  • 1095-0753 (ISSN-L)
  • 1095-0761
DOI
10.4310/atmp.1998.v2.n2.a1
OpenAlex
W4249956767
Cited by
14,524
References
4
Citations by year
2026: 548 · 2025: 761 · 2024: 695 · 2023: 577 · 2022: 489 · 2021: 422 · 2020: 348 · 2019: 344 · 2018: 377 · 2017: 403 · 2016: 580 · 2015: 437 · 2014: 579 · 2013: 653 · 2012: 669
FWCI
308.45
Type
journal article
Language
en
Open access
Locations
Advances in Theoretical and Mathematical Physics (publishedVersion)
Funders
U.S. Department of Energy (DE‐FG02‐)
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
Keywords
large N limit, superconformal field theory, supergravity, AdS/CFT correspondence, M-theory, string theory, branes, near-horizon geometry, superconformal group, supersymmetric Yang-Mills theory, M-theory compactification, AdS spacetime, holography

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review