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Cited by 61Black Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesQuantum chaos and dynamical systems

New boundary conditions for AdS2

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Godet, Victor, Marteau, Charles·2020·Journal of High Energy Physics
DOI 10.1007/jhep12(2020)020
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Abstract

We describe new boundary conditions for AdS 2 in Jackiw-Teitelboim gravity. The asymptotic symmetry group is enhanced to Diff(S1) ⋉ C∞(S1) whose breaking to SL(2, ℝ) × U(1) controls the near-AdS 2 dynamics. The action reduces to a boundary term which is a generalization of the Schwarzian theory and can be interpreted as the coadjoint action of the warped Virasoro group. This theory reproduces the low-energy effective action of the complex SYK model. We compute the Euclidean path integral and derive its relation to the random matrix ensemble of Saad, Shenker and Stanford. We study the flat space version of this action, and show that the corresponding path integral also gives an ensemble average, but of a much simpler nature. We explore some applications to near-extremal black holes.

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Crossref · 10.1007/jhep12(2020)020

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  • For the d CGHS cylinder with each boundary length β, the path integral is P_cyl(β) = 2π^2/β.

    “To that end, the path integral on the cylinder (each of whose boundaries has length β) is P cyl ðβÞ ¼ 2π 2 β :ð3:3Þ”

    From Free energy from replica wormholes (2021) · cites this paper as [27]

    Section 8.3.2, equation (8.58), gives the d CGHS cylinder path integral as Z_cyl(β₁,β₂) = 4π²γ/(β₁+β₂). Setting both boundary lengths to β gives 2π²γ/β, not the claimed 2π²/β unless γ is set to 1. (LLM, conf=0.90)

    Experimental — accuracy not yet measured

  • For the d CGHS disk with boundary length β, the path integral is P_disk(β) = 2π/β^2.

    “For the disk with boundary length β, the result is 5 P disk ðβÞ ¼ 2π β 2 :ð3:2Þ”

    From Free energy from replica wormholes (2021) · cites this paper as [27]

    Section 8.3.1, eq. (8.47), gives a one-loop-exact disk partition function with the claimed 2π/β² dependence. Its result also contains γ and α normalization factors, which the citing sentence omits; the unqualified equality is therefore not fully supported. (LLM, conf=0.86)

    Experimental — accuracy not yet measured

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Cited by

Sorted by citations

Authors
Godet, V., & Marteau, C.
Affiliations
  • Institute for Theoretical Physics Amsterdam (NL)
  • Centre National de la Recherche Scientifique (FR)
Corresponding author
Marteau, Charles
ORCID
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2020-12
Volume
2020
Issue
12
Pages
020
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep12(2020)020
OpenAlex
W3026188673
Cited by
61
References
19
Citations by year
2026: 3 · 2025: 9 · 2024: 6 · 2023: 11 · 2022: 10 · 2021: 19 · 2020: 3
FWCI
4.76
Type
journal article
Language
en
Open access
Licence
Locations
  • Journal of High Energy Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (publishedVersion)
  • HAL (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • arXiv (Cornell University)
Funders
  • National Science Foundation (NSF PHY 17-48958, 1748958)
  • Heising-Simons Foundation
  • Agence Nationale de la Recherche (ANR-16, ANR-16-CE31-0004)
  • Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NSF PHY-1748958)
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
AdS2, Jackiw-Teitelboim gravity, boundary conditions, asymptotic symmetry group, Schwarzian theory, coadjoint action, Euclidean path integral, near-extremal black holes, flat space limit

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