The DOI matches its Crossref record; 27 of the 28 references it cites were found in a registry or an index.
2 + 1 dimensional gravity as an exactly soluble system
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In the citing paper
“One can consider nontrivial spatial or spacetime topologies [277, 279]. Such “cosmological” solutions have moduli — a finite number of parameters that distinguish among geometrically inequivalent constant curvature manifolds — and these can become dynamical.”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [277]
In the citing paper
“Fortunately, the description is closely related to the more familiar first-order Chern-Simons formalism [108, 277, 279, 2], which, in turn, can connect us back to the standard metric formalism.”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [277]
In the citing paper
“As first noted by Achúcarro and Townsend [2] and further developed by Witten [277, 279], the first-order action (14) is equivalent to that of a Chern-Simons theory.”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [277]
In the citing paper
“The path integral for this action was first fully analyzed in two seminal papers by Witten [277, 279], who showed that it reduced to a ratio of determinants that has an elegant topological interpretation as the analytic or Ray-Singer torsion [230].”
From Quantum Gravity in 2 + 1 Dimensions: The Case of a Closed Universe (2005) · cites this paper as [277]
In the citing paper
“this form is unique up to multiplication by a constant factor and defines a dual pairing between so (2 , 1) and R 2+1 .”
From Lorentz spacetimes of constant curvature (2007) · cites this paper as [2]
In the citing paper
“Witten's paper [2] contains the result that the Einstein equation R ij = 0 can be regarded as the Euler-Lagrange equations for the Chern-Simons form 〈 A,dA + 2 3 [ A,A ] 〉 where A is an ISO (2 , 1) connection and 〈 , 〉 is the invariant bilinear form on the Lie algebra iso (2 , 1) for which both the radical R 2+1 and any Levi factor so (2 , 1) are isotropic”
From Lorentz spacetimes of constant curvature (2007) · cites this paper as [2]
In the citing paper
“The degeneracy plays a crucial role in the calculation [27,28] of black hole entropy using a canonical partition function approach.”
From Symmetry reduction for quantized diffeomorphism-invariant theories of connections (2000) · cites this paper as [28]
Citations
Cites
Quantum field theory and the Jones polynomial
Witten, E. (1989) · Communications in Mathematical Physics · doi:10.1007/bf01217730 · Cited by 4,758
Self-citationQuantum Theory of Gravity. I. The Canonical Theory
DeWitt, B. S. (1967) · Physical Review · doi:10.1103/physrev.160.1113 · Cited by 3,385
Topologically massive gauge theories
Deser, S., Jackiw, R., & Templeton, S. (1982) · Annals of Physics · doi:10.1016/0003-4916(82)90164-6 · Cited by 2,659
Topological quantum field theory
Witten, E. (1988) · Communications in Mathematical Physics · doi:10.1007/bf01223371 · Cited by 2,396
Self-citationThree-Dimensional Massive Gauge Theories
Deser, S., Jackiw, R., & Templeton, S. (1982) · Physical Review Letters · doi:10.1103/physrevlett.48.975 · Cited by 1,976
Non-commutative geometry and string field theory
Witten, E. H. (1986) · Nuclear Physics B · doi:10.1016/0550-3213(86)90155-0 · Cited by 1,972
Self-citationNew Variables for Classical and Quantum Gravity
Ashtekar, A. (1986) · Physical Review Letters · doi:10.1103/physrevlett.57.2244 · Cited by 1,663
A polynomial invariant for knots via von Neumann algebras
Jones, V. F. R. (1985) · Bulletin of the American Mathematical Society · doi:10.1090/s0273-0979-1985-15304-2 · Cited by 1,641
Invariant Theoretical Interpretation of Interaction
Utiyama, R. (1956) · Physical Review · doi:10.1103/physrev.101.1597 · Cited by 1,526
Three dimensional manifolds, Kleinian groups and hyperbolic geometry
Thurston, W. P. H. (1982) · Bulletin of the American Mathematical Society · doi:10.1090/s0273-0979-1982-15003-0 · Cited by 1,437
Research works printed but not linked: 10
- Abbott, 1984, Gen. Rel. Grav., 16, 243, 10.1007/BF00762539 · DOI
- Martinec, 1984, Phys. Rev., D30, 1198
- Hartle, 1983, Phys. Rev., D28, 2960
- Mansouri, 1977, Phys. Rev., D16, 2456
- Ashtekar, 1987, Phys. Rev., D36, 1587
- Jackiw, 1981, Phys. Rev., D23, 2291
- Atiyah, 1982, Phil. Trans. Roy. Soc. (Lond.), A308, 523
- Hitchin, 1987, 55, 59
- Donaldson, 1987, 55, 127
- E. Witten, Space-time and topological orbifolds, IAS preprint, Phys. Rev. Lett., to be published
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Metadata
- Authors
- Witten, E.
- Affiliations
- Princeton University (US)
- Corresponding author
- Witten, Edward
- ORCID
- Witten, Edward
- Venue
- Nuclear Physics B
- Publisher
- Elsevier BV
- Published
- 1988-12
- Volume
- 311
- Issue
- 1
- Pages
- 46-78
- ISSN
- 0550-3213 (ISSN-L)
- OpenAlex
- W2025148421
- Cited by
- 2,562
- References
- 28
- Citations by year
- 2026: 45 · 2025: 91 · 2024: 82 · 2023: 135 · 2022: 94 · 2021: 68 · 2020: 111 · 2019: 89 · 2018: 90 · 2017: 79 · 2016: 97 · 2015: 87 · 2014: 98 · 2013: 96 · 2012: 80
- FWCI
- 40.01
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Nuclear Physics B (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Keywords
- three-dimensional gravity, Chern-Simons gravity, Yang-Mills theory, beta function, classical singularities, solid geometry, cosmological constant
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