Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: (Phenomenology/Lattice-Compatible) $SU(3)$ M$\chi$PT HD up to ${\cal
  O}(p^4)$ and the ${\cal O}\left(R^4\right)$-Large-$N$ Connection   Obtaining the values of the coupling constants of the low energy effective
theory corresponding to QCD, compatible with experimental data, even in the
(vector) mesonic sector from (the ${\cal M}$-theory uplift of) a UV-complete
string theory dual, has thus far been missing in the literature. We take the
first step in this direction by obtaining the values of the coupling constants
of the ${\cal O}(p^4)$ $\chi$PT Lagrangian in the chiral limit involving the
NGBs and $\rho$ meson (and its flavor partners) from the ${\cal M}$-theory
/type IIA dual of large-$N$ thermal QCD, inclusive of the ${\cal O}(R^4)$
corrections. We observe that ensuring compatibility with
phenomenological/lattice results (the values ) as given in
arXiv:1510.01634[hep-ph], requires a relationship relating the ${\cal O}(R^4)$
corrections and large-$N$ suppression. In other words, QCD demands that the
higher derivative corrections and the large-$N$ suppressed corrections in its
M/string theory dual are related. As a bonus, we explicitly show that the
${\cal O}(R^4)$ corrections in the UV to the ${\cal M}$-theory uplift of the
type IIB dual of large-$N$ thermal QCD, can be consistently set to be
vanishingly small.

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The categories of this paper are: comp-gas
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The categories of this paper are: econ
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: cs
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The categories of this paper are: physics