English

A single geometry from an all-genus expansion in quantum gravity

High Energy Physics - Theory 2024-12-13 v1 General Relativity and Quantum Cosmology Mathematical Physics math.MP

Abstract

We report on an instance in quantum gravity where a topological expansion resums into an effective description on a single geometry. The original theory whose gravitational path integral we study is JT quantum gravity with one asymptotic boundary at nonperturbatively low temperatures. The effective theory we derive is a deformation of JT gravity by a highly quantum and nonlocal interaction for the dilaton, evaluated only on a disk topology. This emergent description addresses a strongly quantum gravitational regime where all genera contribute at the same order, successfully capturing the doubly nonperturbative physics of the original theory.

Keywords

Cite

@article{arxiv.2412.08799,
  title  = {A single geometry from an all-genus expansion in quantum gravity},
  author = {Sergio Hernández-Cuenca and Nico Valdes-Meller and Wayne Wei-en Weng},
  journal= {arXiv preprint arXiv:2412.08799},
  year   = {2024}
}

Comments

5 pages, 2 figures, 1 geometry

R2 v1 2026-06-28T20:31:40.924Z