The DOI matches its Crossref record; 41 of the 41 references it cites were found in a registry or an index.
Universal spectrum of 2d conformal field theory in the large c limit
Open accessAbstract
Two-dimensional conformal field theories exhibit a universal free energy in the high temperature limit T → ∞, and a universal spectrum in the Cardy regime, Δ → ∞. We show that a much stronger form of universality holds in theories with a large central charge c and a sparse light spectrum. In these theories, the free energy is universal at all values of the temperature, and the microscopic spectrum matches the Cardy entropy for all $$ \Delta \ge \frac{c}{6} $$ . The same is true of three-dimensional quantum gravity; therefore our results provide simple necessary and sufficient criteria for 2d CFTs to behave holographically in terms of the leading spectrum and thermodynamics. We also discuss several applications to CFT and gravity, including operator dimension bounds derived from the modular bootstrap, universality in symmetric orbifolds, and the role of non-universal ‘enigma’ saddlepoints in the thermodynamics of 3d gravity.
Overview
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.
Integrity signals
Registry
Cites
Statistics
Verification
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.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Anti-de Sitter space, thermal phase transition, and confinement in gauge theories
Witten, E. (1998) · Advances in Theoretical and Mathematical Physics · doi:10.4310/atmp.1998.v2.n3.a3 · Cited by 3,915
Black hole in three-dimensional spacetime
Bañados, M., Teitelboim, C., & Zanelli, J. (1992) · Physical Review Letters · doi:10.1103/physrevlett.69.1849 · Cited by 3,831
Microscopic origin of the Bekenstein-Hawking entropy
Strominger, A., & Vafa, C. (1996) · Physics Letters B · doi:10.1016/0370-2693(96)00345-0 · Cited by 3,072
Thermodynamics of black holes in anti-de Sitter space
Hawking, S. W., & Page, D. N. (1983) · Communications in Mathematical Physics · doi:10.1007/bf01208266 · Cited by 3,045
Brown, J. D., & Henneaux, M. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01211590 · Cited by 2,605
Microscopic origin of the Bekenstein-Hawking entropy
Strominger, A., & Vafa, C. (1996) · CERN Document Server (European Organization for Nuclear Research) · Cited by 2,109
Operator content of two-dimensional conformally invariant theories
Cardy, J. L. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90552-3 · Cited by 1,955
Geometry of the 2+1 black hole
Bañados, M., Henneaux, M., Teitelboim, C., & Zanelli, J. (1993) · Physical Review D · doi:10.1103/physrevd.48.1506 · Cited by 1,766
Black hole entropy from near-horizon microstates
Strominger, A. (1998) · Journal of High Energy Physics · doi:10.1088/1126-6708/1998/02/009 · Cited by 1,135
Guica, M., Hartman, T., Song, W., & Strominger, A. (2009) · Physical Review D · doi:10.1103/physrevd.80.124008 · Cited by 843
Self-citation
Cited by
The conformal bootstrap: Theory, numerical techniques, and applications
Poland, D., Rychkov, S., & Vichi, A. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015002 · Cited by 760
Jerusalem lectures on black holes and quantum information
Harlow, D. (2016) · Reviews of Modern Physics · doi:10.1103/revmodphys.88.015002 · Cited by 480
Hartnoll, S. A., Lucas, A., & Sachdev, S. (2016) · arXiv (Cornell University) · doi:10.48550/arxiv.1612.07324 · Cited by 258
Holographic entanglement entropy from 2d CFT: heavy states and local quenches
Asplund, C. T., Bernamonti, A., Galli, F., & Hartman, T. (2015) · Journal of High Energy Physics · doi:10.1007/jhep02(2015)171 · Cited by 280
Self-citationBlack hole collapse in the 1/c expansion
Anous, T., Hartman, T., Rovai, A., & Sonner, J. (2016) · Journal of High Energy Physics · doi:10.1007/jhep07(2016)123 · Cited by 130
Self-citation
Metadata
- Authors
- Hartman, T., Keller, C. A., & Stoica, B.
- Venue
- Journal of High Energy Physics
- Published
- 2014-09
- Volume
- 2014
- Issue
- 9
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2140482927
- Cited by
- 396
- References
- 41
- FWCI
- 14.59
- Type
- journal article
- Language
- en
- Open access
- diamond
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Universal spectrum of 2d conformal field theory in the large c limit. https://app.cochat.ai/papers/10.1007/jhep09(2014)118
- The paper
- Hartman, T., Keller, C. A., & Stoica, B. (2014). Universal spectrum of 2d conformal field theory in the large c limit. Journal of High Energy Physics. https://doi.org/10.1007/jhep09(2014)118
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
