Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The complete structure of the $WG_2$ algebra and its BRST quantization   The complete structure of the $WG_2$ algebra is obtained from an explicit
realization by an abstract Virasoro algebra and a free boson field. We then
construct its BRST operator and find a seven-parameter family of nilpotnt BRST
operators. These free parameters are related to the canonical transformations
of the ghost, antighost fields which leave the total stress-energy tensor and
the antighost field $b$ invariant.

16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin