Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: More on holographic correlators: Twisted and dimensionally reduced
  structures   Recently four-point holographic correlators with arbitrary external BPS
operators were constructively derived in [1,2] at tree-level for maximally
superconformal theories. In this paper, we capitalize on these theoretical
data, and perform a detailed study of their analytic properties. We point out
that these maximally supersymmetric holographic correlators exhibit a hidden
dimensional reduction structure \`a la Parisi and Sourlas. This emergent
structure allows the correlators to be compactly expressed in terms of only
scalar exchange diagrams in a dimensionally reduced spacetime, where formally
both the AdS and the sphere factors have four dimensions less. We also
demonstrate the superconformal properties of holographic correlators under the
chiral algebra and topological twistings. For $AdS_5\times S^5$ and
$AdS_7\times S^4$, we obtain closed form expressions for the meromorphic
twisted correlators from the maximally R-symmetry violating limit of the
holographic correlators. The results are compared with independent field theory
computations in 4d $\mathcal{N}=4$ SYM and the 6d $(2,0)$ theory, finding
perfect agreement. For $AdS_4\times S^7$, we focus on an infinite family of
near-extremal four-point correlators, and extract various protected OPE
coefficients from supergravity. These OPE coefficients provide new holographic
predictions to be matched by future supersymmetric localization calculations.
In deriving these results, we also develop many technical tools which should
have broader applicability beyond studying holographic correlators.

30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an