The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Modular forms and a generalized Cardy formula in higher dimensions
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.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“At this stage, we will limit ourselves to deriving the exact analytic and modular covariant result that allows one to access the qualitatively very different high and low temperature expansions, in agreement with recent results on a Cardy formula and modular properties in higher dimensions [2][3][4].”
From Gravitons in a Casimir box (2021) · cites this paper as [4]
In the citing paper
“The leading term is directly related to the Casimir energy of the system, as discussed in the context of the Cardy formula and modular invariance in higher dimensions in [2][3][4].”
From Gravitons in a Casimir box (2021) · cites this paper as [4]
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
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
Research works printed but not linked: 28
- 10.1103/PhysRev.60.252 · DOI
- 10.1016/0550-3213(91)90024-R · DOI · Paper page
- 10.1007/JHEP07(2015)001 · DOI
- 10.1007/JHEP07(2015)043 · DOI
- 10.1088/1126-6708/2001/01/001 · DOI
- 10.1007/JHEP12(2014)031 · DOI
- 10.1007/JHEP07(2015)113 · DOI
- 10.1007/JHEP08(2015)052 · DOI
- 10.1103/PhysRevLett.107.021601 · DOI · Paper page
- 10.1007/JHEP09(2011)121 · DOI
- 10.1007/JHEP04(2012)097 · DOI
- 10.1007/JHEP11(2013)205 · DOI
- 10.1007/JHEP02(2013)088 · DOI
- 10.1007/JHEP05(2014)134 · DOI
- 10.1007/JHEP05(2014)110 · DOI
- 10.1007/JHEP09(2015)121 · DOI
- 10.1103/PhysRevD.86.124018 · DOI
- 10.1103/PhysRevLett.110.141302 · DOI · Paper page
- 10.1007/JHEP11(2015)081 · DOI
- 10.1103/PhysRevD.91.124038 · DOI
- 10.1016/0550-3213(89)90414-8 · DOI · Paper page
- 10.12942/lrr-2011-8 · DOI · Paper page
- 10.1016/0003-4916(83)90065-9 · DOI · Paper page
- H. B. G. Casimir, 1948, Indagat. Math, 10, 261
- 10.1103/PhysRev.184.1272 · DOI · Paper page
- 10.1103/PhysRevD.59.026005 · DOI · Paper page
- 10.1103/PhysRevD.54.3915 · DOI
- 10.1007/JHEP05(2011)036 · DOI · Paper page
Cited by
Casimir energy and modularity in higher-dimensional conformal field theories
Luo, C., & Wang, Y. (2023) · Journal of High Energy Physics · doi:10.1007/jhep07(2023)028 · Cited by 27
Alessio, F., Barnich, G., & Bronte, M. (2021) · Journal of High Energy Physics · doi:10.1007/jhep02(2021)216 · Cited by 8
Metadata
- Authors
- Shaghoulian, E.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2016-06-20
- Volume
- 93
- Issue
- 12
- ISSN
- 2470-0010
- 2470-0029
- Cited by
- 46
- References
- 1
- Language
- en
- Licence
- Funders
- National Science Foundation (PHY13-16748)
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: Modular forms and a generalized Cardy formula in higher dimensions. https://app.cochat.ai/papers/10.1103/physrevd.93.126005
- The paper
- Shaghoulian, E. (2016). Modular forms and a generalized Cardy formula in higher dimensions. Physical Review D. https://doi.org/10.1103/physrevd.93.126005
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.