Affiliation:
1. University of Cologne
2. University of Amsterdam
3. University of Geneva
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)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 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.
Funder
Deutsche Forschungsgemeinschaft
European Research Council
FP7 Seventh Framework Programme
Nederlandse Organisatie voor Wetenschappelijk Onderzoek
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Subject
General Physics and Astronomy
Cited by
6 articles.
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4. Matrix Models for Eigenstate Thermalization;Physical Review X;2023-09-20
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