Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flatness and Semi-Rigidity of Vertex Operator Algebras   In vertex operator algebra theories, most of the general theorems are proved
under the assumptions of rationality and C_2-cofiniteness. In this paper, we
obtain several general theorems without the assumption of rationality so that
we can use them for proving rationality of given C_2-cofinite vertex operator
algebras. For example, we apply them to orbifold models and show that if g is a
finite automorphism of a rational C_2-cofinite vertex operator algebra T of
CFT-type with T'\cong T and a fixed point subVOA T^g is C_2-cofinite, then T^g
is also rational.

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The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: econ
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga