The Large N Limit of Superconformal Field Theories and Supergravity

The Large N Limit of Superconformal Field Theories and Supergravity Juan M. Maldacena

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The Large N Limit of Superconformal Field Theories and Supergravity 1998 Advances in Theoretical and Mathematical Physics / arXiv 10.4310/ATMP.1998.v2.n2.a1 hep-th/9711200 maldacena1997-adscft maldacena1997-adscft.txt, the project's staged copy 7f5f3bd8d486eb781bebab426a1b51414e554247 arxiv-open physics

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0 spans located by searching the stored text for the quote's exact words, allowing any whitespace between them existence Quotation withheld because this record is not cleared for redistribution. duality between large-N conformal field theories and supergravity on anti-de Sitter spacetimes Quotation withheld because this record is not cleared for redistribution. theory theory Quotation withheld because this record is not cleared for redistribution. mechanisms the AdS/CFT (holographic) duality: a string/gravity theory in an anti-de Sitter spacetime is equivalent to a conformal field theory living on its lower-dimensional boundary status: the paper's own words: We conjecture that Quotation withheld because this record is not cleared for redistribution. the supergravity description is trustworthy only in the large-N limit what this limits: every supergravity result in the paper: Quotation withheld Quotation withheld because this record is not cleared for redistribution. The boundary conditions that the AdS side requires are not specified. what this limits: the AdS side of the correspondence as stated here: WE ARE NOT GOING TO SPECIFY THE BOUNDARY CONDITIONS IN ADS, WE LEAVE THIS INTERESTING PROBLEM FOR THE FUTURE Quotation withheld because this record is not cleared for redistribution. The predictions offered were not checked. what this limits: the status of the paper's predictions: WE CAN MAKE VERY NONTRIVIAL PREDICTIONS (THOUGH WE WERE NOT ABLE TO CHECK THEM) Quotation withheld because this record is not cleared for redistribution. The numerical mismatch between black hole entropy and the perturbative Yang-Mills calculation is unresolved. what this limits: the entropy comparison specifically: IT IS EXPECTED THAT LARGE g_YM EFFECTS CHANGE THIS NUMERICAL FACTOR, THIS PROBLEM REMAINS UNSOLVED Quotation withheld because this record is not cleared for redistribution. The lower-supersymmetry cases are treated sketchily and incompletely understood by the author. what this limits: the lower-supersymmetry cases: THERE ARE SEVERAL DETAILS OF THE CONFORMAL FIELD THEORIES INVOLVED WHICH I DO NOT COMPLETELY UNDERSTAND Quotation withheld because this record is not cleared for redistribution. A necessary condition of the five-dimensional black string conjecture is left open. what this limits: the five-dimensional black string conjecture: IT IS NOT CLEAR TO ME WHETHER THIS IS TRUE Quotation withheld because this record is not cleared for redistribution. The Reissner-Nordstrom section contains an unresolved puzzle. what this limits: the Reissner-Nordstrom section: IT IS MORE SKETCHY AND CONTAINS AN UNRESOLVED PUZZLE, SO THE READER WILL NOT MISS MUCH IF HE SKIPS IT Quotation withheld because this record is not cleared for redistribution. The programme as a whole is preliminary. what this limits: the programme as a whole: WE ARE ONLY SCRATCHING THE SURFACE AND THERE ARE MANY THINGS TO BE WORKED OUT Quotation withheld because this record is not cleared for redistribution. A published statement by others is flagged as needing caution, with the geometric reason given. what this limits: the cited U-duality between the AdS spacetime and the full black hole solution: this paper says that statement should be taken with caution, because in those cases the spacetime has identifications on circles that are becoming null Quotation withheld because this record is not cleared for redistribution. A distinction the author states is the correct one is then deliberately not made anywhere in the rest of the paper. what this limits: the group-theoretic statements in this paper: the author notes the representation includes spinor objects so the group should be SU(4), and states that this and similar distinctions are not made in what follows Quotation withheld because this record is not cleared for redistribution. conformal field theory conformal field theory Quotation withheld because this record is not cleared for redistribution. string theory string theory Quotation withheld because this record is not cleared for redistribution. supergravity supergravity Quotation withheld because this record is not cleared for redistribution. near horizon geometry near horizon geometry Quotation withheld because this record is not cleared for redistribution. the central result - AS A CONJECTURE, and one whose statement requires boundary conditions that are called suitable without being given: the author's word is conjecture, not correspondence Quotation withheld because this record is not cleared for redistribution. trust - THE PAPER'S EPISTEMIC VERB, and it never appears without a range: a solution is not valid or proved but trusted, and trusted only as long as a stated condition holds Quotation withheld because this record is not cleared for redistribution. the duality - ASYMMETRIC IN WHAT CAN BE COMPUTED: the regime where one side becomes untrustworthy is exactly the regime where the other can be trusted, which is what makes the pairing useful Quotation withheld because this record is not cleared for redistribution. builds-on → string theory and conformal field theory Quotation withheld because this record is not cleared for redistribution. builds-on → ref. [1], the finite-temperature study of the NS fivebrane theory Quotation withheld because this record is not cleared for redistribution. builds-on → the calculations for the 1D+5D system in refs [39, 53, 54] Quotation withheld because this record is not cleared for redistribution. WITHDRAWN AND REPLACED (RETRACTED AND RE-ADDED WITH THE IMPORTED DESCRIPTION REMOVED) · extends → the matrix model of ref. [61], which proposed the large N limit of D0 brane quantum mechanics as a definition of eleven dimensional M-theory WITHDRAWN AND REPLACED: RETRACTED AND RE-ADDED WITH THE IMPORTED DESCRIPTION REMOVED. The target described ref [61] as 'WHICH PROPOSED THE LARGE N LIMIT OF D0 BRANE QUANTUM MECHANICS AS A DEFINITION OF ELEVEN DIMENSIONAL M-THEORY'. That is TRUE of ref [61] and this paper never says it; the span says only that JV is not the momentum along a compact direction. Being true is what made it hard to see - the same fault as putting the CO2/C mass ratio in a tag. Quotation withheld because this record is not cleared for redistribution. extends → the matrix model of ref. [61] Quotation withheld because this record is not cleared for redistribution. supergravity —part-of→ conformal field theory supergravity conformal field theory strength of the relation: 1 Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but the span says the large N limit of certain CFTs includes a sector describing supergravity; part-of is loose. Quotation withheld because this record is not cleared for redistribution. 32 — maximal supersymmetry fixing the probe action Quotation withheld because this record is not cleared for redistribution. (0,2) — six-dimensional theory dual to AdS7 x S4 Quotation withheld because this record is not cleared for redistribution. the large N limit of certain CFTs contains supergravity in its Hilbert space about this quote: QUOTE REPAIRED: the extractor split a hyphen-space and the quote was recorded faithfully with the damage in it, which made it unanchorable. The repaired string is an EXACT SUBSTRING of the staged text - that is why it was accepted, not because a rule produced it. The text as originally recorded is kept in evidence as extracted. Quotation withheld because this record is not cleared for redistribution. M/string theory on Anti-deSitter backgrounds is conjectured dual to conformal field theories Quotation withheld because this record is not cleared for redistribution. the correspondence is a strong-weak coupling correspondence Quotation withheld because this record is not cleared for redistribution. for small g and large N, the Yang-Mills theory is predicted to contain strings Quotation withheld because this record is not cleared for redistribution. N N Quotation withheld because this record is not cleared for redistribution. U U Quotation withheld because this record is not cleared for redistribution. gN gN Quotation withheld because this record is not cleared for redistribution. superconformal group superconformal group about this quote: QUOTE RECOVERED FROM THE PAPER'S OWN CHARACTERS. The recorded quote was LETTERS-ONLY IDENTICAL to this stretch of the staged text but not an exact substring of it - spaces, hyphens, ligature glyphs or mathematical operators differed, so it could never anchor. This is the file's own text between the same two letters: not produced by a rule about the damage, copied out of the file. Round-trip checked (the recovered span is letters-only equal to the original) and length-checked. The text as originally recorded is kept in evidence as extracted. Quotation withheld because this record is not cleared for redistribution. decoupling limit decoupling limit Quotation withheld because this record is not cleared for redistribution. R-symmetry R-symmetry Quotation withheld because this record is not cleared for redistribution.

The full text of this article is not redistributable, so it is not included here. The evidence sentences are withheld with it; the tag layer and its grounding status remain. The article itself is at https://doi.org/10.4310/ATMP.1998.v2.n2.a1.