Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Permutation orbifolds and associative algebras   Let $V$ be a vertex operator algebra and $g=\left(1\ 2\ \cdots k\right)$ be a
$k$-cycle which is viewed as an automorphism of the vertex operator algebra
$V^{\otimes k}$. It is proved that Dong-Li-Mason's associated associative
algebra $A_{g}\left(V^{\otimes k}\right)$ is isomorphic to Zhu's algebra
$A\left(V\right)$ explicitly. This result recovers a previous result that there
is a one-to-one correspondence between irreducible $g$-twisted $V^{\otimes
k}$-modules and irreducible $V$-modules.

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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: stat
4
The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph