Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Explicit formula for singular vectors of the Virasoro algebra with
  central charge less than 1   We calculate explicitly the singular vectors of the Virasoro algebra with the
central charge $c\leq 1$. As a result, we have an infinite sequence of the
singular vectors for each Fock space with given central charge and highest
weight, and all its elements can be written in terms of the Jack symmetric
functions with rectangular Young diagram.

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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
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The categories of this paper are: econ
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas