Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A modular invariance property of multivariable trace functions for
  regular vertex operator algebras   We prove an $\text{SL}_2 (\mathbb{Z})$-invariance property of multivariable
trace functions on modules for a regular VOA. Applying this result, we provide
a proof of the inversion transformation formula for Siegel theta series. As
another application, we show that if $V$ is a regular VOA containing a regular
subVOA $U$ whose commutant $U^c$ is regular and satisfies $(U^c)^c =U$, then
all simple $U$-modules appear in some simple $V$-module.

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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph