An exact quantization of Jackiw-Teitelboim gravity
Open accessAbstract
A bstract: We propose an exact quantization of two-dimensional Jackiw-Teitelboim (JT) gravity by formulating the JT gravity theory as a 2D gauge theory placed in the presence of a loop defect. The gauge group is a certain central extension of PSL(2 , ℝ) by ℝ. We find that the exact partition function of our theory when placed on a Euclidean disk matches precisely the finite temperature partition function of the Schwarzian theory. We show that observables on both sides are also precisely matched: correlation functions of boundary- anchored Wilson lines in the bulk are given by those of bi-local operators in the Schwarzian theory. In the gravitational context, the Wilson lines are shown to be equivalent to the world-lines of massive particles in the metric formulation of JT 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?
These correlators were later reproduced using a variety of approaches by Blommaert et al. (2018); Iliesiu et al. (2019) using the BF approach and by Kitaev and Suh (2019), Yang (2019), Suh (2020) using the particle in a magnetic field perspective on JT gravity.
“These correlators were later reproduced using a variety of approaches by Blommaert et al. (2018); Iliesiu et al. (2019) using the BF approach and by Kitaev and Suh (2019), Yang (2019), Suh (2020) using the particle in a magnetic field perspective on JT gravity, proposed by Kitaev in 2016.”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Iliesiu et al. (2019)
The disk partition function and the disk partition function with a single Wilson line insertion in the BF model are given by equations (3.88, 3.89).
“The result of the disk partition function, and that with a single Wilson line insertion, in this model are given by (Mertens 2018; Blommaert et al. 2018; Iliesiu et al. 2019):3.883.89”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Iliesiu et al. 2019
In the BF model, 3j-symbols and 6j-symbols can appear for Wilson line endpoints and bulk crossings respectively.
“Finally, the 3j-symbols ( in the above example), and 6j-symbols can appear for Wilson line endpoints and bulk crossings respectively (Mertens 2018; Blommaert et al. 2018; Iliesiu et al. 2019).”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Iliesiu et al. 2019
JT gravity coupled to 2d gauge fields is dual to double-scaled matrix models.
“These models of gravity coupled to gauge fields are also dual to double-scaled matrix models (Iliesiu 2019; Kapec et al. 2020) in a way we now describe.”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Iliesiu 2019
The dual of JT gravity coupled to a group G gauge field corresponds to an ensemble average over Hamiltonians, where each representation subspace Hamiltonian is taken from a matrix ensemble with disk density of states (4.61), and Hamiltonians in different representation subsectors are statistically independent.
“The dual of JT gravity coupled to a group G gauge field, derived in Iliesiu (2019), Kapec et al. (2020), corresponds to an ensemble average over Hamiltonians, where each is taken from a matrix ensemble described by a disk density of states given by (4.61). The Hamiltonians acting on different representation subsectors are statistically independent.”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Iliesiu (2019)
No citation lists for this paper
No citation lists for this paper yet — checked again daily.
References 73 · Cited by 129
- Authors
- Iliesiu, L. V., Pufu, S. S., Verlinde, H., & Wang, Y.
- Affiliations
- Princeton University (US)
- Corresponding author
- Pufu, Silviu S.
- Venue
- Journal of High Energy Physics
- Published
- 2019-11
- Volume
- 2019
- Issue
- 11
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W2944683632
- Cited by
- 129
- References
- 73
- Citations by year
- 2026: 16 · 2025: 14 · 2024: 16 · 2023: 20 · 2022: 15 · 2021: 21 · 2020: 20 · 2019: 7
- FWCI
- 8.17
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Licence
- Locations
- Journal of High Energy Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- arXiv (Cornell University)
- Funders
- National Science Foundation (1620059, 1820651)
- Simons Foundation (488653)
- 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
- Jackiw-Teitelboim gravity, two-dimensional gravity, exact quantization, Schwarzian theory, Wilson lines, massive particles, correlation functions
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
