Explorations of Non-Perturbative JT Gravity and Supergravity
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.
Keywords
Cite
@article{arxiv.2006.10959,
title = {Explorations of Non-Perturbative JT Gravity and Supergravity},
author = {Clifford V. Johnson},
journal= {arXiv preprint arXiv:2006.10959},
year = {2021}
}
Comments
23 pages, 35 figures (!), one trumpet and some saxophones; v2: Extra subsections added with more results and techniques for understanding spectral densities, remarkable confirmation (and extension) of a formula of Stanford and Witten, and identification of instanton corrections. New detailed results at smaller hbar included. Improvements to figures; v3: Improved discussion