Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Applications of W-algebras to BF theories, QCD and 4D Gravity   We are able to show that BF theories naturally emerge from the coadjoint
orbits of $W_2$ and $w_\infty$ algebras which includes a Kac-Moody sector.
Since QCD strings can be identified with a BF theory, we are able to show a
relationship between the orbits and monopole-string solutions of QCD.
Furthermore, we observe that when 4D gravitation is cast into a BF form through
the use of Ashtekar variables, we are able to get order $\hbar$ contributions
to gravity which can be associated with the $W_2$ anomaly. We comment on the
relationship to gravitational monopoles.

17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn