Exactly solvable field theories of closed strings
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The (p,q) minimal string was conjectured to be equivalent to a random matrix integral.
“For the particular case where the matter sector is the (p, q) minimal model, the resulting string model is called the (p, q) minimal string, which famously was conjectured to be equivalent to a random matrix integral, stemming from ideas around random triangulations of a 2d surface (Brezin and Kazakov 1990; Douglas and Shenker 1990; Gross and Migdal 1990).”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Brezin and Kazakov 1990
The condition that these planes intersect along lines determines the Barrett-Crane intertwiner.
“In turn, the condition that these planes intersect along lines determines the Barrett-Crane intertwiner (see also [28]).”
From Barrett–Crane model from a Boulatov–Ooguri field theory over a homogeneous space (2000) · cites this paper as [28]
Cites
Brézin, E., Itzykson, C., Parisi, G., & Zuber, J. B. (1978) · Communications in Mathematical Physics · doi:10.1007/bf01614153 · Cited by 1,479 · see citing works
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Intersection theory on the moduli space of curves and the matrix airy function
Kontsevich, M. (1992) · Communications in Mathematical Physics · doi:10.1007/bf02099526 · Cited by 1,472 · see citing works
2D gravity and random matrices
Francesco, P. D., Ginsparg, P., & Zinn-Justin, J. (1995) · Physics Reports · doi:10.1016/0370-1573(94)00084-g · Cited by 1,332 · 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
Liouville quantum gravity — holography, JT and matrices
Mertens, T. G., & Turiaci, G. J. (2021) · Journal of High Energy Physics · doi:10.1007/jhep01(2021)073 · Cited by 130 · see citing works
Simplicial quantum gravity in more than two dimensions
Godfrey, N., & Gross, M. (1991) · Physical Review D · doi:10.1103/physrevd.43.r1749 · Cited by 93 · see citing works
Ooguri, H. (1992) · Nuclear Physics B · doi:10.1016/0550-3213(92)90188-h · Cited by 76 · see citing works
2D dilaton-gravity, deformations of the minimal string, and matrix models
Turiaci, G. J., Usatyuk, M., & Weng, W. W. (2021) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ac25df · Cited by 73 · see citing works
Eichhorn, A., & Koslowski, T. (2014) · Physical Review D · doi:10.1103/physrevd.90.104039 · Cited by 51 · see citing works
Matrix ensembles with global symmetries and ’t Hooft anomalies from 2d gauge theory
Kapec, D., Mahajan, R., & Stanford, D. (2020) · Journal of High Energy Physics · doi:10.1007/jhep04(2020)186 · Cited by 45 · see citing works
2D dilaton gravity in a unitary gauge
Miković, A. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)91402-9 · Cited by 38 · see citing works
Exploring complex networks via topological embedding on surfaces
Aste, T., Gramatica, R., & Di Matteo, T. (2012) · Physical Review E · doi:10.1103/physreve.86.036109 · Cited by 33 · see citing works
- Authors
- Brézin, E., & Kazakov, V. A.
- Affiliations
- École Normale Supérieure - PSL (FR)
- ORCID
- Kazakov, V.A.
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 1990-02
- Volume
- 236
- Issue
- 2
- Pages
- 144-150
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W2138554348
- Cited by
- 1,211
- References
- 1
- Citations by year
- 2026: 11 · 2025: 23 · 2024: 24 · 2023: 18 · 2022: 13 · 2021: 24 · 2020: 25 · 2019: 19 · 2018: 14 · 2017: 13 · 2016: 35 · 2015: 24 · 2014: 24 · 2013: 21 · 2012: 21
- FWCI
- 135.67
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physics Letters B (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
- Keywords
- closed string field theory, central charge, two-point functions, scaling laws, nonlinear differential equations, phase transitions, cosmological constant, string coupling constant
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.
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