Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aspects of Jackiw-Teitelboim Gravity in Anti-de Sitter and de Sitter
  spacetime   We discuss JT gravity in AdS and dS space in the second order formalism. For
the pure dS JT theory without matter, we show that the path integral gives rise
in general to the Hartle-Hawking wave function which describes an arbitrary
number of disconnected universes produced by tunnelling "from nothing", or to
transition amplitudes which describe the tunnelling of an initial state
consisting of several contracting universes to a final state of several
expanding universes. These processes can be described by a hologram consisting
of Random Matrix Theory (RMT) or, we suggest, after some modification on the
gravity side, by a hologram with the RMT being replaced by SYK theory. In the
presence of matter, we discuss the double trumpet path integral and argue that
with suitable twisted boundary conditions, a divergence in the moduli space
integral can be avoided and the system can tunnel from a contracting phase to
an expanding one avoiding a potential big bang/big crunch singularity. The
resulting spectrum of quantum perturbations which are produced can exhibit
interesting departures from scale invariance. We also show that the divergence
in moduli space can be avoided for suitable correlators which involve different
boundaries in the AdS/dS cases, and suggest that a hologram consisting of the
SYK theory with additional matter could get rid of these divergences in
general. Finally, we analyse the AdS double trumpet geometry and show that
going to the micro-canonical ensemble instead of the canonical one, for the
spectral form factor, does not get rid of the divergence in moduli space.

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The categories of this paper are: atom-ph
2
The categories of this paper are: math
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom