SciPost Submission Page
Quantum chaos in 2D gravity
by Alexander Altland, Boris Post, Julian Sonner, Jeremy van der Heijden, Erik Verlinde
Submission summary
| Authors (as registered SciPost users): | Julian Sonner |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2204.07583v3 (pdf) |
| Date accepted: | Jan. 10, 2023 |
| Date submitted: | Nov. 11, 2022, 11:13 a.m. |
| Submitted by: | Julian Sonner |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We present a quantitative and fully non-perturbative description of the ergodic phase of quantum chaos in the setting of two-dimensional gravity. To this end we describe the doubly non-perturbative completion of semiclassical 2D gravity in terms of its associated universe field theory. The guiding principle of our analysis is a flavor-matrix theory (fMT) description of the ergodic phase of holographic gravity, which exhibits $\mathrm{U}(n|n)$ causal symmetry breaking and restoration. JT gravity and its 2D-gravity cousins alone do not realize an action principle with causal symmetry, however we demonstrate that their {\it universe field theory}, the Kodaira-Spencer (KS) theory of gravity, does. After directly deriving the fMT from brane-antibrane correlators in KS theory, we show that causal symmetry breaking and restoration can be understood geometrically in terms of different (topological) D-brane vacua. We interpret our results in terms of an open-closed string duality between holomorphic Chern-Simons theory and its closed-string equivalent, the KS theory of gravity. Emphasis will be put on relating these geometric principles to the characteristic spectral correlations of the quantum ergodic phase.
Author comments upon resubmission
We thank the referees for their positive review and constructive criticism of our paper `Quantum chaos in 2D gravity', submitted to SciPost Physics on 2022-07-01.
The referees clearly showed an interest in our paper and a sharp eye for its possible improvements. After reading the referee reports and Editorial Recommendation, we have incorporated the suggestions made therein, resulting in this revised version of the article submission. We will now list the changes made compared to version 1, in response to both reports.
List of changes
The other structural revision has been to combine all the reviewed material and necessary prior knowledge in a separate section, aptly titled 'Setting the scene'. The new material following this section has been made self-contained and more flowing. Moreover, some extra details of the computation are added where necessary. Lastly, a few minor typos were fixed and some references were added.
Published as SciPost Phys. 15, 064 (2023)