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Cited by 52Black Holes and Theoretical PhysicsQuantum chaos and dynamical systemsNoncommutative and Quantum Gravity Theories

Multi-boundary correlators in JT gravity

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Okuyama, Kazumi, Sakai, Kazuhiro·2020·Journal of High Energy Physics
DOI 10.1007/jhep08(2020)126
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Abstract

We continue the systematic study of the thermal partition function of Jackiw-Teitelboim (JT) gravity started in [arXiv:1911.01659]. We generalize our analysis to the case of multi-boundary correlators with the help of the boundary creation operator. We clarify how the Korteweg-de Vries constraints arise in the presence of multiple boundaries, deriving differential equations obeyed by the correlators. The differential equations allow us to compute the genus expansion of the correlators up to any order without ambiguity. We also formulate a systematic method of calculating the WKB expansion of the Baker-Akhiezer function and the ’t Hooft expansion of the multi-boundary correlators. This new formalism is much more efficient than our previous method based on the topological recursion. We further investigate the low temperature expansion of the two-boundary correlator. We formulate a method of computing it up to any order and also find a universal form of the two-boundary correlator in terms of the error function. Using this result we are able to write down the analytic form of the spectral form factor in JT gravity and show how the ramp and plateau behavior comes about. We also study the Hartle-Hawking state in the free boson/fermion representation of the tau-function and discuss how it should be related to the multi-boundary correlators.

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Crossref · 10.1007/jhep08(2020)126

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  • At temperatures lower than O(e^{-2S0/3}), the contribution of the cylinder topology to the two-point correlator can become larger than that of the disk.

    “For instance, the authors of [28,29] find that at temperatures lower than Oðe -2S 0 =3 Þ, the contribution of the cylinder topology to this correlator can become larger than that of the disk;”

    From Free energy from replica wormholes (2021) · cites this paper as [29]

  • For certain m the sum over genus can be performed to produce a low-temperature asymptotic expansion; for m=1 equation (4.7) gives P_{conn;1}.

    “Inserting this expression into (4.3),for certain m the sum over genus can be performed as described in [28,29] to produce a low-temperature asymptotic expansion; for example, for m ¼ 1 we have”

    From Free energy from replica wormholes (2021) · cites this paper as [29]

  • The low-temperature subleading corrections to (A10) were computed for the m=1 case in [28] and are expressed schematically in (4.7); the m=2 corrections were computed in [29].

    “The low-temperature subleading corrections to (A10) were computed for the m ¼ 1 case in [28] and are expressed schematically in (4.7); the m ¼ 2 corrections were computed in [29].”

    From Free energy from replica wormholes (2021) · cites this paper as [29]

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Authors
Okuyama, K., & Sakai, K.
Affiliations
  • Shinshu University (JP)
  • Meiji Gakuin University (JP)
Corresponding author
Sakai, Kazuhiro
ORCID
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2020-08
Volume
2020
Issue
8
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep08(2020)126
OpenAlex
W3081178611
Cited by
52
References
58
Citations by year
2026: 2 · 2025: 6 · 2024: 8 · 2023: 7 · 2022: 6 · 2021: 21 · 2020: 2
FWCI
3.98
Type
journal article
Language
en
Open access
Licence
Locations
  • Journal of High Energy Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (publishedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • arXiv (Cornell University)
Funders
Japan Society for the Promotion of Science (19K03856, 19K03845)
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 › Quantum chaos and dynamical systems
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
Keywords
Jackiw-Teitelboim gravity, thermal partition function, genus expansion, WKB expansion, Baker-Akhiezer functions, low-temperature expansion, spectral form factor, Hartle-Hawking state, tau functions, topological recursion, error function

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