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Title: An integrable road to a perturbative plateau
A<sc>bstract</sc> As has been known since the 90s, there is an integrable structure underlying two-dimensional gravity theories. Recently, two-dimensional gravity theories have regained an enormous amount of attention, but now in relation with quantum chaos — superficially nothing like integrability. In this paper, we return to the roots and exploit the integrable structure underlying dilaton gravity theories to study a late time, largeeSBHdouble scaled limit of the spectral form factor. In this limit, a novel cancellation due to the integrable structure ensures that at each genusgthe spectral form factor grows likeT2g+1, and that the sum over genera converges, realising a perturbative approach to the late-time plateau. Along the way, we clarify various aspects of this integrable structure. In particular, we explain the central role played by ribbon graphs, we discuss intersection theory, and we explain what the relations with dilaton gravity and matrix models are from a more modern holographic perspective.  more » « less
Award ID(s):
2014215
PAR ID:
10477577
Author(s) / Creator(s):
; ;
Publisher / Repository:
Springer-Verlag
Date Published:
Journal Name:
Journal of High Energy Physics
Volume:
2023
Issue:
4
ISSN:
1029-8479
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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