Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Direct limit completions of vertex tensor categories   We show that direct limit completions of vertex tensor categories inherit
vertex and braided tensor category structures, under conditions that hold for
example for all known Virasoro and affine Lie algebra tensor categories. A
consequence is that the theory of vertex operator (super)algebra extensions
also applies to infinite-order extensions. As an application, we relate rigid
and non-degenerate vertex tensor categories of certain modules for both the
affine vertex superalgebra of $\mathfrak{osp}(1|2)$ and the $N=1$ super
Virasoro algebra to categories of Virasoro algebra modules via certain cosets.

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The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics