Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kerr Scattering Coefficients via Isomonodromy   We study the scattering of a massless scalar field in a generic Kerr
background. Using a particular gauge choice based on the current conservation
of the radial equation, we give a generic formula for the scattering
coefficient in terms of the composite monodromy parameter $\sigma$ between the
inner and the outer horizons. Using the isomonodromy flow, we calculate
$\sigma$ exactly in terms of the Painlev\'e V $\tau$-function. We also show
that the eigenvalue problem for the angular equation (spheroidal harmonics) can
be calculated using the same techniques. We use recent developments relating
the Painlev\'e V $\tau$-function to Liouville irregular conformal blocks to
claim that this scattering problem is solved in the combinatorial sense, with
known expressions for the $\tau$-function near the critical points.

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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol