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Cited by 123Black Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesAlgebraic structures and combinatorial models

The Schwarzian theory — a Wilson line perspective

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Blommaert, Andreas, Mertens, Thomas G., Verschelde, Henri·2018·Journal of High Energy Physics
DOI 10.1007/jhep12(2018)022
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Abstract

A bstract: We provide a holographic perspective on correlation functions in Schwarzian quantum mechanics, as boundary-anchored Wilson line correlators in Jackiw-Teitelboim gravity. We first study compact groups and identify the diagrammatic representation of bilocal correlators of the particle-on-a-group model as Wilson line correlators in its 2d holographic BF description. We generalize to the Hamiltonian reduction of SL + (2, ℝ) and derive the Schwarzian correlation functions. Out-of-time ordered correlators are determined by crossing Wilson lines, giving a 6 j -symbol, in agreement with 2d CFT results.

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Crossref · 10.1007/jhep12(2018)022

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  • 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 Blommaert et al. (2018)

  • 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 Blommaert et al. 2018

  • 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 Blommaert et al. 2018

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Authors
Blommaert, A., Mertens, T. G., & Verschelde, H.
Affiliations
Ghent University (BE)
Corresponding author
Mertens, Thomas G.
ORCID
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2018-12
Volume
2018
Issue
12
ISSN
1029-8479 (ISSN-L)
DOI
10.1007/jhep12(2018)022
OpenAlex
W2950557609
Cited by
123
References
6
Citations by year
2026: 13 · 2025: 12 · 2024: 11 · 2023: 12 · 2022: 18 · 2021: 15 · 2020: 14 · 2019: 26 · 2018: 2
FWCI
7.55
Type
journal article
Language
en
Open access
Licence
Locations
  • Journal of High Energy Physics (publishedVersion, cc-by)
  • arXiv (Cornell University) (publishedVersion)
  • Ghent University Academic Bibliography (Ghent University) (submittedVersion, cc-by)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • arXiv (Cornell University)
Funders
  • Fonds Wetenschappelijk Onderzoek
  • Vlaamse regering
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 › Mathematics › Geometry and Topology › Algebraic structures and combinatorial models
Keywords
Wilson lines, Jackiw-Teitelboim gravity, holography, compact groups, BF theory, out-of-time-order correlators, 6j symbols, two-dimensional conformal field theory, correlation functions

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