Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Affine Hidden Symmetry and Integrability of Type IIB Superstring in
  $AdS_{5} \times S^{5}$   In this paper, we motivate how the Hodge dual related with S-duality gives
the hidden symmetry in the moduli space of IIB string. Utilizing the static $%
\kappa $-symmetric Killing gauge, if we take the Hodge dual of the vierbeins
keeping the connection invariant, the duality of Maure-Cartan equations and the
equations of motion becomes manifest. Thus by twistly transforming the
vierbein, we can express the BPR currents as the Lax connections by a unique
spectral parameter. Then we construct the generators of the infinitesimal
dressing symmetry, the related symmetric algebra becomes the affine $%
gl(2,2|4)^{(1)}$, which can be used to find the classical $r$ matrix.

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The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat