Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Liouville mode in Gauge/Gravity Duality   We establish solutions corresponding to AdS4 static charged black holes with
inhomogeneous two-dimensional horizon surfaces of constant curvature. Depending
on the choice of the 2D constant curvature space, the metric potential of the
internal geometry of the horizon satisfies the elliptic wave/elliptic Liouville
equations. We calculate the charge diffusion and transport coefficients in the
hydrodynamic limit of gauge/gravity duality and observe the exponential
suppression in the diffusion coefficient and in the shear viscosity-per-entropy
density ratio in the presence of an inhomogeneity on black hole horizons with
planar, spherical, and hyperbolic geometry. We discuss the subtleties of the
approach developed for a planar black hole with inhomogeneity distribution on
the horizon surface in more detail and find, among others, a trial distribution
function, which generates values of the shear viscosity-per-entropy density
ratio falling within the experimentally relevant range. The solutions obtained
are also extended to higher-dimensional AdS space. We observe two different DC
conductivities in 4D and higher-dimensional effective strongly coupled dual
media and formulate conditions under which the appropriate ratio of different
conductivities is qualitatively the same as that observed in an anisotropic
strongly coupled fluid. We briefly discuss ways of how the Liouville field
could appear in condensed matter physics and outline prospects of further
employing the gauge/gravity duality in CMP problems.

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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
29
The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs