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Cited by 548Black Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesNoncommutative and Quantum Gravity Theories

Anti-de Sitter fragmentation

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Maldacena, Juan, Michelson, Jeremy, Strominger, Andrew·1999·Journal of High Energy Physics
DOI 10.1088/1126-6708/1999/02/011
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Abstract

Some general aspects of the AdS 2/CFT1 correspondence, previously discussed in hep-th/9812073, are summarized. The majority of this summary is devoted to the question of where the CFT1 should live. Almost as a byproduct, the decay—or fragmentation—of AdS 2 is also discussed.

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Crossref · 10.1088/1126-6708/1999/02/011

Cites

36 of 36 references verified0 citation errors · 0 not checkable

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  • The setup of these microstate models can be motivated from the fragmentation instability of the near-horizon geometry of the near-extremal black hole mediated by Brill instantons.

    “The setup of these microstate models can be motivated from the fragmentation instability [263] of the near-horizon geometry of the near-extremal black hole mediated by the Brill instantons of semi-classical gravity.”

    From Holographic spacetime, black holes and quantum error correcting codes: a review (2022) · cites this paper as [263]

    Section 4, especially §4.4 (“The Brill instanton”), describes instanton-mediated fragmentation of an AdS₂ × S² near-horizon geometry. But its Brill-instanton calculation concerns the throat of an extremal charged black hole, not a demonstrated fragmentation instability of a near-extremal black hole. (LLM, conf=0.84)

    Experimental — accuracy not yet measured

  • Sending matter through the boundary causes the dilaton to diverge at the holographic boundary; this runaway backreaction was argued to ruin Maldacena's decoupling limit for AdS/CFT.

    “Then sending in some matter through or suddenly causes at to diverge. This runaway backreaction at the holographic boundary was first noticed in Maldacena et al. (1999), where it was argued to ruin Maldacena’s decoupling limit (Maldacena 1999) for AdS/CFT.”

    From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Maldacena et al. (1999)

    Section 2.2 (eq. 2.17; page unavailable) says nonzero matter stress makes e^−φ diverge near at least one AdS₂ boundary, so the geometry cannot remain asymptotically AdS₂ × S₂. But the paper does not say this ruins the decoupling limit for AdS/CFT generally: §2.3 describes a different limit in which matter backreaction is suppressed and AdS/CFT duality retains nontrivial content. (LLM, conf=0.86)

    Experimental — accuracy not yet measured

  • A general argument for the lack of a classical solution for the double trumpet can be found in Maldacena et al. (1999) and Qi et al. (2019).

    “A general argument for this lack of classical solution can be found in Maldacena et al. (1999) and Qi et al. (2019).”

    From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Maldacena et al. 1999

    Section 2 (equations 2.15–2.17; page unavailable) gives a classical constraint argument: nonzero T++ prevents a geometry from remaining asymptotically AdS2 × S2 at both boundaries. That supports the cited general obstruction, but the paper does not identify a double-trumpet solution or establish its absence without that condition. (LLM, conf=0.83)

    Experimental — accuracy not yet measured

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Cites

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Research works printed but not linked: 6

  1. [12]12. J. Maldacena and A. Strominger, Statistical Entropy of Four-Dimensional Black Holes, Phys. Rev. Lett. 77 (1996) 428 [hep-th/9603060]. · arXiv
  2. [19]19. T. Banks and M. Green, Nonperturbative Effects in AdS 5 × S 5 String Theory and d = 4 SUSY Yang-Mills, J. High Energy Phys. 05 (1998) 002 [hep-th/9804170]; · arXiv
  3. [20]20. C.S. Chu, P. M. Ho and Y.Y. Wu, D-Instanton in AdS 5 and Instanton in SYM 4 , Nucl. Phys. B 541 (1999) 179 [hep-th/9806103]; · arXiv
  4. [21]21. I. Kogan, G. Luzon, D-Instantons on the Boundary, Nucl. Phys. B 539 (1999) 121 [hep-th/9806197]; · arXiv
  5. [29]29. L. Girardello, M. Terini, M. Porrati and A. Zaffaroni, Novel Local CFT and Exact Results on Perturbations of N = 4 Super Yang Mills From AdS Dynamics, J. High Energy Phys. 12 (1998) 022 [hep-th/9810126]; · arXiv
  6. [32]32. A. Strominger, Baby Universes, in TASI '88: Particles, Strings and Supernovae (ed. A. Jevicki and C.-I. Tan) World Scientific, 1989.

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Authors
Maldacena, J., Michelson, J., & Strominger, A.
Affiliations
Harvard University (US)
ORCID
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
1999-02-13
Volume
1999
Issue
02
Pages
011-011
ISSN
1029-8479 (ISSN-L)
DOI
10.1088/1126-6708/1999/02/011
OpenAlex
W2762260492
Semantic Scholar
1f8a0376042ad825c5f28bb555afd890183924b0
Cited by
548
References
36
Citations by year
2026: 16 · 2025: 35 · 2024: 14 · 2023: 31 · 2022: 34 · 2021: 35 · 2020: 32 · 2019: 26 · 2018: 24 · 2017: 24 · 2016: 20 · 2015: 22 · 2014: 10 · 2013: 17 · 2012: 15
FWCI
20.78
Type
journal article
Language
en
Open access
Locations
  • Journal of High Energy Physics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • Digital Access to Scholarship at Harvard (DASH) (Harvard University) (submittedVersion, cc-by)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Funders
  • National Science Foundation
  • U.S. Department of Energy
  • Natural Sciences and Engineering Research Council of Canada
Topics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
Keywords
AdS2 x S2, near-horizon limit, black hole entropy, moduli spaces, tree-like structures, instantons, quantum ground state, AdS/CFT correspondence

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