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

TL;DR

This paper demonstrates how a topological expansion in JT quantum gravity can be resummed into an effective single-geometry description, capturing nonperturbative quantum gravitational effects on a disk topology.

Contribution

It introduces a novel effective theory for JT gravity that incorporates all-genus contributions into a single, nonlocal dilaton interaction on a disk.

Findings

Resummation of topological expansion into a single effective geometry

Effective theory captures doubly nonperturbative physics

Addresses strongly quantum gravitational regime

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.