Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anomaly in conformal quantum mechanics: From molecular physics to black
  holes   A number of physical systems exhibit a particular form of asymptotic
conformal invariance: within a particular range of distances, they are
characterized by a long-range conformal interaction (inverse square potential),
the absence of dimensional scales, and an SO(2,1) symmetry algebra. Examples
from molecular physics to black holes are provided and discussed within a
unified treatment. When such systems are physically realized in the appropriate
strong-coupling regime,the occurrence of quantum symmetry breaking is possible.
This anomaly is revealed by the failure of the symmetry generators to close the
algebra in a manner shown to be independent of the renormalization procedure.

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The categories of this paper are: cond-mat
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The categories of this paper are: physics
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin