Homotopy groups and (2 + 1)-dimensional quantum de Sitter gravity
Integrity signals
Registry
Cites
Statistics
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?
The brackets among holonomies have been evaluated by Nelson, Regge, and Zertuche for Λ<0; they are nonzero only for holonomies of curves that intersect and can be written in terms of holonomies of rerouted curves.
“The resulting brackets among the holonomies have been evaluated by Nelson, Regge, and Zertuche [210, 211] for Λ < 0, for which the two SL(2, ℝ) factors in the gauge group G may be taken to be independent. The brackets are nonzero only for holonomies of curves that intersect, and can be written in terms of holonomies of “rerouted” curves”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [211]
The Poisson brackets among the traces of the holonomies reproduce the Poisson algebra of Nelson, Regge, and Zertuche.
“reproducing the Poisson algebra of Nelson, Regge, and Zertuche [211].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [211]
The algebra (57) is not a Lie algebra, but it is related to the Lie algebra of the quantum group Uq(sl(2)) with q = exp 4iθ.
“The algebra (57) is not a Lie algebra, but it is related to the Lie algebra of the quantum group Uq(sl(2)) with q = exp 4iθ [211].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [211]
Cites
2 + 1 dimensional gravity as an exactly soluble system
Witten, E. (1988) · Nuclear Physics B · doi:10.1016/0550-3213(88)90143-5 · Cited by 2,562 · see citing works
Flagged first, then by citations
Cited by
Sorted by citations
The (2 + 1)-dimensional black hole
Carlip, S. (1995) · Classical and Quantum Gravity · doi:10.1088/0264-9381/12/12/005 · Cited by 609 · see citing works
Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe
Carlip, S. (2005) · Living Reviews in Relativity · doi:10.12942/lrr-2005-1 · Cited by 172 · see citing works
- Authors
- Nelson, J. E., Regge, T., & Zertuche, F.
- Affiliations
- Istituto Nazionale di Fisica Nucleare, Sezione di Torino (IT)
- University of Turin (IT)
- Scuola Internazionale Superiore di Studi Avanzati (IT)
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1990-07
- Volume
- 339
- Issue
- 2
- Pages
- 516-532
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2033664072
- Cited by
- 88
- References
- 1
- Citations by year
- 2026: 1 · 2024: 1 · 2023: 4 · 2022: 1 · 2021: 1 · 2020: 1 · 2019: 1 · 2017: 3 · 2016: 1 · 2015: 1 · 2014: 2 · 2013: 2 · 2012: 1
- FWCI
- 3.20
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Nuclear Physics B (publishedVersion)
- Institutional Research Information System University of Turin (University of Turin) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- homotopy groups, fundamental group, three-dimensional gravity, de Sitter gravity, anti-de Sitter gravity, canonical commutation relations, first-order formalism, spinor representation, quantum groups, Poincaré symmetry
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
