Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probing holography in $p$-adic CFT   We holographically calculate the partition functions of CFTs dual to
Bruhat-Tits trees and $p$-adic BTZ black holes. Along the way, we propose new
spectral decompositions of the Laplacian operator other than the plane-wave
basis on these two types of backgrounds, with both analytical and numerical
evidence. We extract the density of states and hence entropy from BTZ partition
function via inverse Laplace transform. Then the one-loop Witten diagram is
computed in the $p$-adic BTZ black hole background, yielding constraints on the
heavy-heavy-light averaged three-point coefficient of its boundary $p$-adic
CFT. Finally, for general $p$-adic CFTs (not necessarily holographic), we
analyze the representation theory of their global conformal group
$PGL\left(2,\mathbb{Q}_p\right)$, and discuss the suitability of different
representations as Hilbert spaces of $p$-adic CFT.

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The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
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The categories of this paper are: stat
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph