Explorations of Non-Perturbative JT Gravity and Supergravity

TL;DR

This paper investigates non-perturbative aspects of JT gravity and supergravity, demonstrating how to extract detailed spectral properties and non-perturbative effects using analytical and numerical methods, beyond perturbative expansions.

Contribution

It introduces a controlled truncation scheme to compute non-perturbative spectral densities and form factors in JT gravity and supergravity, extending understanding of their non-perturbative physics.

Findings

Explicit non-perturbative spectral densities computed

Full spectral form factors including wormhole contributions shown

Non-perturbative features like slope, dip, ramp, plateau identified

Abstract

Some recently proposed definitions of Jackiw-Teitelboim gravity and supergravities in terms of combinations of minimal string models are explored, with a focus on physics beyond the perturbative expansion in spacetime topology. While this formally involves solving infinite order non-linear differential equations, it is shown that the physics can be extracted to arbitrarily high accuracy in a simple controlled truncation scheme, using a combination of analytical and numerical methods. The non-perturbative spectral densities are explicitly computed and exhibited. The full spectral form factors, involving crucial non-perturbative contributions from wormhole geometries, are also computed and displayed, showing the non-perturbative details of the characteristic `slope', `dip', `ramp' and `plateau' features. It is emphasized that results of this kind can most likely be readily extracted for other types of JT gravity using the same methods.