Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremal Three-point Correlators in Kerr/CFT   We compute three-point correlation functions in the near-extremal,
near-horizon region of a Kerr black hole, and compare to the corresponding
finite-temperature conformal field theory correlators. For simplicity, we focus
on scalar fields dual to operators ${\cal O}_h$ whose conformal dimensions obey
$h_3=h_1+h_2$, which we name \emph{extremal} in analogy with the classic $AdS_5
\times S^5$ three-point function in the literature. For such extremal
correlators we find perfect agreement with the conformal field theory side,
provided that the coupling of the cubic interaction contains a vanishing
prefactor $\propto h_3-h_1-h_2$. In fact, the bulk three-point function
integral for such extremal correlators diverges as $1/(h_3-h_1-h_2)$. This
behavior is analogous to what was found in the context of extremal AdS/CFT
three-point correlators. As in AdS/CFT our correlation function can
nevertheless be computed via analytic continuation from the non-extremal case.

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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg