Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite Energy Monopoles in Non-Abelian Gauge Theories on Odd-dimensional
  Spaces   In higher dimensional gauge theory, we need energies with higher power terms
of field strength in order to realize point-wise monopoles. We consider new
models with higher power terms of field strength and extraordinary kinetic term
of scalar field. Monopole charges are computed as integrals over spheres and
they are related to mapping class degree. Hedge-Hog solutions are investigated
in these models. Every differential equation for these solutions is Abel's
differential equation. A condition for existence of finite energy solution is
shown. Spaces of 1-jets of these equations are defined as sets of zeros of
polynomials. Those spaces can be interpreted as singular quartic surfaces in
three-dimensional complex projective space.

14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org