Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Automorphism groups and uniqueness of holomorphic vertex operator
  algebras of central charge $24$   We describe the automorphism groups of all holomorphic vertex operator
algebras of central charge $24$ with non-trivial weight one Lie algebras by
using their constructions as simple current extensions. We also confirm a
conjecture of G. H\"ohn on the numbers of holomorphic vertex operator algebras
of central charge $24$ obtained as inequivalent simple current extensions of
certain vertex operator algebras, which gives another proof of the uniqueness
of holomorphic vertex operator algebras of central charge $24$ with non-trivial
weight one Lie algebras.

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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con