Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A paucity of bulk entangling surfaces: AdS wormholes with de Sitter
  interiors   We study and construct spacetimes, dubbed planar AdS-dS-wormholes, satisfying
the null energy condition and having two asymptotically AdS boundaries
connected through a (non-traversable) inflating wormhole. As for other
wormholes, it is natural to expect dual descriptions in terms of two
disconnected CFTs in appropriate entangled states. But for our cases certain
expected bulk entangling surfaces used by the Hubeny-Rangamani-Takayanagi (HRT)
prescription to compute CFT entropy do not exist. In particular, no real
codimension-2 extremal surface can run from one end of the wormhole to the
other. According to HRT, the mutual information between any two finite-sized
subregions (one in each CFT) must then vanish at leading order in large $N$ --
though the leading-order mutual information per unit area between the two CFTs
taken as wholes may be nonzero. Some planar AdS-dS-wormholes also fail to have
plane-symmetric surfaces that would compute the total entropy of either CFT. We
suggest this to remain true of less-symmetric surfaces so that the HRT entropy
is ill-defined and some modified prescription is required. It may be possible
to simply extend HRT or the closely-related maximin construction by a limiting
procedure, though complex extremal surfaces could also play an important role.

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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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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: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th