Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anti-de Sitter no-hair, AdS/CFT and the brane-world   We study the asymptotic behavior of the bulk spacetimes with the negative
cosmological constant in the context of the brane-world scenario. We show that,
in Euclidean bulk, or in Lorentzian static bulk, some sequences of
hypersurfaces with the positive Ricci scalar evolve to the warped geometries
like the anti-de Sitter spacetime. Based on the AdS/CFT correspondence, we
discuss that the positivity of the Ricci scalar is related to the stability of
CFT on the brane. In addition, the brane-world is described from the
holographic point of view. The asymptotic local structure of the conformal
infinity is also investigated.

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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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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: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: math
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The categories of this paper are: quant-ph