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Les Houches lectures on two-dimensional gravity and holography

by Gustavo Joaquin Turiaci

Submission summary

Authors (as registered SciPost users): Gustavo Joaquin Turiaci
Submission information
Preprint Link: https://arxiv.org/abs/2412.09537v1  (pdf)
Date accepted: Sept. 10, 2025
Date submitted: July 28, 2025, 7:05 a.m.
Submitted by: Gustavo Joaquin Turiaci
Submitted to: SciPost Physics Lecture Notes
 for consideration in Collection:
Ontological classification
Academic field: Physics
Specialties:
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

Lecture notes prepared for the Les Houches school "Quantum Geometry: Mathematical Methods for Gravity, Gauge Theories and Non-Perturbative Physics" that took place during the summer 2024. We cover the techniques to perform the exact gravitational path integral of two-dimensional dilaton-gravity, and supergravity, over spacetimes with arbitrary topology, with an application to black holes. We discuss the connection with random matrix models and moduli spaces of hyperbolic surfaces briefly, since those concepts were covered in other lectures of the school.

Current status:
Accepted in target Journal

Editorial decision: For Journal SciPost Physics Lecture Notes: Publish
(status: Editorial decision fixed and (if required) accepted by authors)


Reports on this Submission

Report #1 by Anonymous (Referee 1) on 2025-9-3 (Invited Report)

Strengths

These lecture notes present a detailed introduction to JT gravity, its duality to random matrix theory, and with a particular focus on extensions (non-orientable surfaces, fermionic JT gravity, and supersymmetry). The review is technically correct, self-contained on the material it aims to cover, and the topic is a timely and important direction of research.

Weaknesses

none.

Report

The lecture notes given here are both in-depth and friendly introduction to various ongoing directions of research in JT gravity. Coupled with other lectures in the Les Houches series (as well the author's previous review on the subject), which are duly acknowledged in these notes, this is an impressively comprehensive overview of the state of the art in JT gravity and random matrix theory.

I have not reproduced detailed calculations, however to the extent that I have gone through the technical arguments they are sound and in line with the cited literature.

These lecture notes easily meet the criteria of SciPost Physics Lecture Notes.

Requested changes

I found one (very minor) typo: above equation (5.22) "read of..." should be "read off..."

Recommendation

Publish (surpasses expectations and criteria for this Journal; among top 10%)

  • validity: top
  • significance: top
  • originality: high
  • clarity: high
  • formatting: perfect
  • grammar: perfect

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