Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probing analytical and numerical integrability: The curious case of
  $(AdS_5\times S^5)_{\eta}$   Motivated by recent studies related to integrability of string motion in
various backgrounds via analytical and numerical procedures, we discuss these
procedures for a well known integrable string background $(AdS_5\times
S^5)_{\eta}$. We start by revisiting conclusions from earlier studies on string
motion in $(\mathbb{R}\times S^3)_{\eta}$ and $(AdS_3)_{\eta}$ and then move on
to more complex problems of $(\mathbb{R}\times S^5)_{\eta}$ and
$(AdS_5)_{\eta}$. Discussing both analytically and numerically, we deduce that
while $(AdS_5)_{\eta}$ strings do not encounter any irregular trajectories,
string motion in the deformed five-sphere can indeed, quite surprisingly, run
into chaotic trajectories. We discuss the implications of these results both on
the procedures used and the background itself.

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The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
2
The categories of this paper are: math
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: eess