Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Black hole scrambling from hydrodynamics   We argue that the gravitational shock wave computation used to extract the
scrambling rate in strongly coupled quantum theories with a holographic dual is
directly related to probing the system's hydrodynamic sound modes. The
information recovered from the shock wave can be reconstructed in terms of
purely diffusion-like, linearized gravitational waves at the horizon of a
single-sided black hole with specific regularity-enforced imaginary values of
frequency and momentum. In two-derivative bulk theories, this horizon
"diffusion" can be related to late-time momentum diffusion via a simple
relation, which ceases to hold in higher-derivative theories. We then show that
the same values of imaginary frequency and momentum follow from a dispersion
relation of a hydrodynamic sound mode. The frequency, momentum and group
velocity give the holographic Lyapunov exponent and the butterfly velocity.
Moreover, at this special point along the sound dispersion relation curve, the
residue of the retarded longitudinal stress-energy tensor two-point function
vanishes. This establishes a direct link between a hydrodynamic sound mode at
an analytically continued, imaginary momentum and the holographic butterfly
effect. Furthermore, our results imply that infinitely strongly coupled,
large-$N_c$ holographic theories exhibit properties similar to classical dilute
gasses; there, late-time equilibration and early-time scrambling are also
controlled by the same dynamics.

29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio