Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Crossing bridges with strong Szego limit theorem   We develop a new technique for computing a class of four-point correlation
functions of heavy half-BPS operators in planar N=4 SYM theory which admit
factorization into a product of two octagon form factors with an arbitrary
bridge length. We show that the octagon can be expressed as the Fredholm
determinant of the integrable Bessel operator and demonstrate that this
representation is very efficient in finding the octagons both at weak and
strong coupling. At weak coupling, in the limit when the four half-BPS
operators become null separated in a sequential manner, the octagon obeys the
Toda lattice equations and can be found in a closed form. At strong coupling,
we exploit the strong Szego limit theorem to derive the leading asymptotic
behavior of the octagon and, then, apply the method of differential equations
to determine the remaining subleading terms of the strong coupling expansion to
any order in the inverse coupling. To achieve this goal, we generalize results
available in the literature for the asymptotic behavior of the determinant of
the Bessel operator. As a byproduct of our analysis, we formulate a
Szego-Akhiezer-Kac formula for the determinant of the Bessel operator with a
Fisher-Hartwig singularity and develop a systematic approach to account for
subleading power suppressed contributions.

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The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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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: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: cs