Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Black Hole Probes of Automorphic Space   Over the past few years the arithmetic Langlands program has proven useful in
addressing physical problems. In this paper it is shown how Langlands'
reciprocity conjecture for automorphic forms, in combination with a
representation theoretic notion of motives, suggests a framework in which the
entropy of automorphic black holes can be viewed as a probe of spacetime that
is sensitive to the geometry of the extra dimensions predicted by string
theory. If it were possible to produce black holes with automorphic entropy in
the laboratory their evaporation would provide us with information about the
precise shape of the compact geometry.

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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom