Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal symmetry breaking and degeneracy of high-lying unflavored
  mesons   We show that though conformal symmetry can be broken by the dilaton, such can
happen without breaking the conformal degeneracy patterns in the spectra. We
departure from R^1XS^3 slicing of AdS_5 noticing that the inverse radius, R, of
S^3 relates to the temperature of the deconfinement phase transition and has to
satisfy, \hbar c/R >> \Lambda_{QCD}. We then focus on the eigenvalue problem of
the S^3 conformal Laplacian, given by 1/R^2 (K^2+1), with K^2 standing for the
Casimir invariant of the so(4) algebra. Such a spectrum is characterized by a
(K+1)^2 fold degeneracy of its levels, with K\in [0,\infty). We then break the
conformal S^3 metric as, d\tilde{s}^2=e^{-b\chi} ((1+b^2/4) d\chi^2 +\sin^2\chi
(d\theta ^2 +\sin^2\theta d\varphi ^2)), and attribute the symmetry breaking
scale, b\hbar^2c^2/R^2, to the dilaton. We show that such a metric deformation
is equivalent to a breaking of the conformal curvature of S^3 by a term
proportional to b\cot \chi, and that the perturbed conformal Laplacian is
equivalent to (\tilde{K}^2 +c_K), with c_K a representation constant, and
\tilde{K}^2 being again an so(4) Casimir invariant, but this time in a
representation unitarily inequivalent to the 4D rotational. In effect, the
spectra before and after the symmetry breaking are determined each by
eigenvalues of a Casimir invariant of an so(4) algebra, a reason for which the
degeneracies remain unaltered though the conformal group symmetry breaks at the
level of the representation of its algebra. We fit the S^3 radius and the
\hbar^2c^2b/R^2 scale to the high-lying excitations in the spectra of the
unflavored mesons, and observe the correct tendency of the \hbar c /R=373 MeV
value to notably exceed \Lambda_{QCD}. The size of the symmetry breaking scale
is calculated as \hbar c \sqrt{b}/R=673.7 MeV.

9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat