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Cited by 82Noncommutative and Quantum Gravity TheoriesRelativity and Gravitational TheoryBlack Holes and Theoretical Physics

Homotopy groups and 2+1 dimensional quantum gravity

Nelson, J.E., Regge, T.·1989·Nuclear Physics B
DOI 10.1016/0550-3213(89)90099-0
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Crossref · 10.1016/0550-3213(89)90099-0

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  • 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 [210]

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Authors
Nelson, J. E., & Regge, T.
Affiliations
  • Istituto Nazionale di Fisica Nucleare, Sezione di Torino (IT)
  • University of Turin (IT)
ORCID
Nelson, J.E.
Venue
Nuclear Physics B
Publisher
Elsevier BV
Published
1989-12
Volume
328
Issue
1
Pages
190-202
ISSN
0550-3213 (ISSN-L)
DOI
10.1016/0550-3213(89)90099-0
OpenAlex
W2010335263
Cited by
82
References
1
Citations by year
2024: 1 · 2023: 4 · 2022: 2 · 2021: 1 · 2020: 1 · 2017: 3 · 2014: 1 · 2013: 3 · 2012: 2
FWCI
6.11
Type
journal article
Language
en
Open access
closed
Licence
www.elsevier.com/tdm/userlicense/1.0/ (tdm)
Locations
  • Nuclear Physics B (publishedVersion)
  • PORTO@Iris (submittedVersion)
  • Institutional Research Information System University of Turin (University of Turin) (submittedVersion)
  • PORTO Publications Open Repository TOrino (Politecnico di Torino) (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
homotopy groups, fundamental group, three-dimensional gravity, canonical commutation relations, first-order formalism

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