Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal field theories associated to regular chiral vertex operator
  algebras I: theories over the projective line   Based on any chiral vertex operator algebra satisfying a suitable finiteness
condition, the semisimplicity of the zero-mode algebra as well as a regularity
for induced modules, we construct conformal field theory over the projective
line with the chiral vertex operator algebra as symmetries of the theory. We
appropriately generalize the argument in [TUY] so that we are able to define
sheaves of conformal blocks for chiral vertex operator algebras and study them
in detail. We prove the factorization theorem under the fairly general
conditions for chiral vertex operator algebras and the zero-mode algebras.

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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
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The categories of this paper are: stat
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org