Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disorder in Gauge/Gravity Duality, Pole Spectrum Statistics and Random
  Matrix Theory   In condensed-matter, level statistics has long been used to characterize the
phases of a disordered system. We provide evidence within the context of a
simple model that in a disordered large-N gauge theory with a gravity dual,
there exist phases where the nearest neighbor spacing distribution of the
unfolded pole spectra of generic two-point correlators is Poisson. This closely
resembles the localized phase of the Anderson Hamiltonian. We perform two tests
on our statistical hypothesis. One is based on a statistic defined in the
context of Random Matrix Theory, the so-called $\bar{\Delta_3}$, or spectral
rigidity, proposed by Dyson and Mehta. The second is a $\chi$-squared test. In
our model, the results of both tests are consistent with the hypothesis that
the pole spectra of two-point functions can be at least in two distinct phases;
first a regular sequence and second a completely uncorrelated sequence with a
Poisson nearest neighbor spacing distribution.

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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom