TL;DR
This paper reformulates gravity near an AdS$_2$ throat as a hydrodynamic system coupled with conformal quantum mechanics, providing a method to compute correlation functions and demonstrating maximal chaos in the dual system.
Contribution
It introduces a new hydrodynamic framework for AdS$_2$ holography and offers a prescription for calculating $n$-point functions in the dual quantum mechanics.
Findings
Dual system is maximally chaotic
Provides a new method to compute correlation functions
Reformulates gravity near AdS$_2$ as hydrodynamics
Abstract
We revisit AdS holography with the Sachdev-Ye-Kitaev models in mind. Our main result is to rewrite a generic theory of gravity near an AdS throat as a novel hydrodynamics coupled to the correlation functions of a conformal quantum mechanics. This gives a prescription for the computation of -point functions in the dual quantum mechanics. We thereby find that the dual is maximally chaotic.
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