The DOI matches its Crossref record; 3 of the 3 references it cites were found in a registry or an index.
A MODEL OF THREE-DIMENSIONAL LATTICE GRAVITY
Open accessAbstract
A model is proposed which generates all oriented 3D simplicial complexes weighted with an invariant associated with a topological lattice gauge theory. When the gauge group is SU q (2), q n =1, it is the Turaev-Viro invariant and the model may be regarded as a nonperturbative definition of 3D simplicial quantum gravity. If one takes a finite Abelian group G, the corresponding invariant gives the rank of the first cohomology group of a complex C:I G (C)=rank(H 1 (C,G)), which means a topological expansion in the Betti number b 1 . In general, it is a theory of the Dijkgraaf-Witten type, i.e., determined completely by the fundamental group of a manifold.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
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
“Building on work by Boulatov [60], Freidel and Loupre have recently considered a variant of the Ponzano-Regge model, and have shown that although the sum over topologies diverges, it is Borel summable [132].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [60]
In the citing paper
“indeed, we know from loop quantum gravity [3,29] and from other approaches [21], that the N i 's are naturally related to the area of the faces, and their intertwiner to the volume.”
From Barrett–Crane model from a Boulatov–Ooguri field theory over a homogeneous space (2000) · cites this paper as [29]
Citations
Cites
State sum invariants of 3-manifolds and quantum 6j-symbols
Turaev, V. G., & Viro, O. Y. (1992) · Topology · doi:10.1016/0040-9383(92)90015-a · Cited by 1,145
Spectroscopic and Group Theoretical Methods in Physics
Bloch, F., Cohen, S. G., De-Shalit, A., Sambursky, S., & Talmi, I. (1968) · Cited by 162
Three Manifolds and Graph InvariantsPreprint
Rama, S. K., & Sen, S. (1991) · arXiv (Cornell University) · doi:10.48550/arxiv.hep-th/9112071 · Cited by 1
Cited by
Sorted by citations
Loop quantum cosmology: a status report
Ashtekar, A., & Singh, P. (2011) · Classical and Quantum Gravity · doi:10.1088/0264-9381/28/21/213001 · Cited by 1,205
The Spin-Foam Approach to Quantum Gravity
Perez, A. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-3 · Cited by 677
Spin foam models for quantum gravity
Perez, A. (2003) · Classical and Quantum Gravity · doi:10.1088/0264-9381/20/6/202 · Cited by 532
Critical behavior of colored tensor models in the large N limit
Bonzom, V., Gurău, R., Riello, A., & Rivasseau, V. (2011) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2011.07.022 · Cited by 388
Group Field Theory: An Overview
Freidel, L. (2005) · International Journal of Theoretical Physics · doi:10.1007/s10773-005-8894-1 · Cited by 378
Metadata
- Authors
- BOULATOV, D. V.
- Affiliations
- Commissariat à l'Énergie Atomique et aux Énergies Alternatives (FR)
- Corresponding author
- BOULATOV, D.V.
- Venue
- Modern Physics Letters A
- Publisher
- World Scientific Pub Co Pte Ltd
- Published
- 1992-06-14
- Volume
- 07
- Issue
- 18
- Pages
- 1629-1646
- ISSN
- 0217-7323 (ISSN-L)
- 1793-6632
- OpenAlex
- W2153297565
- Cited by
- 326
- References
- 3
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 10 · 2023: 8 · 2022: 2 · 2021: 34 · 2020: 11 · 2019: 6 · 2018: 6 · 2017: 7 · 2016: 34 · 2015: 15 · 2014: 19 · 2013: 25 · 2012: 26
- FWCI
- 2.81
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Modern Physics Letters A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- simplicial quantum gravity, lattice gauge theory, Turaev-Viro invariants, Dijkgraaf-Witten theory, topological invariants, simplicial complexes, first cohomology group, Betti numbers, non-perturbative quantum gravity, three-dimensional gravity
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
