The path integral of 3D gravity near extremality; or, JT gravity with defects as a matrix integral
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We propose that a class of new topologies, for which there is no classical solution, should be included in the path integral of three-dimensional pure gravity, and that their inclusion solves pathological negativities in the spectrum, replacing them with a nonperturbative shift of the BTZ extremality bound. We argue that a two dimensional calculation using a dimensionally reduced theory captures the leading effects in the near extremal limit. To make this argument, we study a closely related two-dimensional theory of Jackiw-Teitelboim gravity with dynamical defects. We show that this theory is equivalent to a matrix integral.
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A duality similar to the JT case between pure 2d dilaton gravity and a matrix integral was proven in Maxfield and Turiaci (2021) and independently in Witten (2020).
“This duality was proven in Maxfield and Turiaci (2021) and independently in Witten (2020), and a precise relation was found between these two functions.”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Maxfield and Turiaci (2021)
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References 74 · Cited by 209
- Authors
- Maxfield, H., & Turiaci, G. J.
- Affiliations
- University of California, Santa Barbara (US)
- Corresponding author
- Turiaci, Gustavo J.
- Venue
- Journal of High Energy Physics
- Published
- 2021-01-20
- Volume
- 2021
- Issue
- 1
- ISSN
- 1029-8479 (ISSN-L)
- OpenAlex
- W3036127800
- Cited by
- 209
- References
- 74
- Citations by year
- 2026: 11 · 2025: 25 · 2024: 25 · 2023: 36 · 2022: 48 · 2021: 61 · 2020: 3
- FWCI
- 11.16
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- 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 (1801805)
- 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 › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Keywords
- path integral, JT gravity, matrix integrals, two-dimensional gravity
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