Exactly soluble diffeomorphism invariant theories
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For JT gravity, the first-order gauge theory simplifies into the topological BF model.
“For the specific case of JT gravity, this gauge theory further simplifies into the topological BF model (Horowitz 1989).”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Horowitz 1989
The Plebanski Lagrangian for general relativity has the form of BF theory with gauge group SL(2,C), with an added term which is a constraint.
“In fact, the Plebanski Lagrangian [8,9] for general relativity has the form of BF theory [10] with gauge group SL(2 , C ), with an added term which is a constraint.”
From Relativistic spin networks and quantum gravity (1998) · cites this paper as [10]
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
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Relativistic spin networks and quantum gravity
Barrett, J. W., & Crane, L. (1998) · Journal of Mathematical Physics · doi:10.1063/1.532254 · Cited by 404 · see citing works
Capovilla, R., Dell, J., Jacobson, T., & Mason, L. (1991) · Classical and Quantum Gravity · doi:10.1088/0264-9381/8/1/009 · Cited by 286 · see citing works
Barrett–Crane model from a Boulatov–Ooguri field theory over a homogeneous space
De Pietri, R., Freidel, L., Krasnov, K., & Rovelli, C. (2000) · Nuclear Physics B · doi:10.1016/s0550-3213(00)00005-5 · Cited by 244 · see citing works
Spacetime as a Feynman diagram: the connection formulation
Reisenberger, M. P., & Rovelli, C. (2001) · Classical and Quantum Gravity · doi:10.1088/0264-9381/18/1/308 · Cited by 202 · see citing works
Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity
Mertens, T. G., & Turiaci, G. J. (2023) · Living Reviews in Relativity · doi:10.1007/s41114-023-00046-1 · Cited by 181 · see citing works
Four-dimensional BF theory as a topological quantum field theory
Baez, J. C. (1996) · Letters in Mathematical Physics · doi:10.1007/bf00398315 · Cited by 75 · see citing works
The Hamiltonian constraint in quantum gravity
Blencowe, M. P. (1990) · Nuclear Physics B · doi:10.1016/0550-3213(90)90269-j · Cited by 53 · see citing works
Two-dimensional topological field theories coupled to four-dimensional BF theory
Montesinos, M., & Perez, A. (2008) · Physical Review D · doi:10.1103/physrevd.77.104020 · Cited by 13 · see citing works
- Authors
- Horowitz, G. T.
- Affiliations
- University of California, Santa Barbara (US)
- Corresponding author
- Horowitz, Gary T.
- ORCID
- Horowitz, Gary T.
- Venue
- Communications in Mathematical Physics
- Published
- 1989-09
- Volume
- 125
- Issue
- 3
- Pages
- 417-437
- ISSN
- 0010-3616 (ISSN-L)
- 1432-0916
- OpenAlex
- W2085084116
- Cited by
- 472
- References
- 1
- Citations by year
- 2026: 12 · 2025: 20 · 2024: 7 · 2023: 12 · 2022: 7 · 2021: 18 · 2020: 16 · 2019: 16 · 2018: 8 · 2017: 18 · 2016: 13 · 2015: 8 · 2014: 9 · 2013: 13 · 2012: 13
- FWCI
- 16.26
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Communications in Mathematical Physics (publishedVersion)
- Project Euclid (Cornell University) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- 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
- Keywords
- topological field theory, three-dimensional gravity, higher-dimensional generalization, Einstein-Hilbert action, Yang-Mills theory, theta-vacua, Chern-Simons theory, knot theory, topological gauge theory, Hilbert space construction
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.
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