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.

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

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• Alpha states demystified: Towards microscopic models of AdS${}_2$ holography
• Solving Puzzles in Deformed JT Gravity: Phase Transitions and Non-Perturbative Effects
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• Quantum Gravity Microstates from Fredholm Determinants
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