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  • Letter
  • Open Access

Jackiw-Teitelboim gravity, random disks of constant curvature, self-overlapping curves, and Liouville CFT1

Frank Ferrari*

  • *Contact author: frank.ferrari@ulb.be
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Phys. Rev. D 111, L061901 – Published 3 March, 2025

DOI: https://doi.org/10.1103/PhysRevD.111.L061901

Abstract

We propose a microscopic definition of finite cutoff JT quantum gravity on the disk, both in the discretized and in the continuum points of view. The discretized formulation involves a new model of so-called self-overlapping random polygons. The measure is not uniform, implying that the degrees of freedom are not in one-to-one correspondence with the shape of the boundary. The continuum formulation is based on a boundary CFT1 from which we predict some critical exponents of the self-overlapping polygon model. The coupling to an arbitrary bulk matter CFT is also discussed.

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References (24)

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Phys. Rev. D 111, L061901– Published 3 March, 2025
  • Received 4 July 2024
  • Revised 1 September 2024
  • Accepted 7 February 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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