Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological energy bounds for the Skyrme and Faddeev models with massive
  pions   A topological lower bound on the Skyrme energy which depends explicity on the
pion mass is derived. This bound coincides with the previously best known bound
when the pion mass vanishes, and improves on it whenever the pion mass is
non-zero. The new bound can in particular circumstances be saturated. New
energy bounds are also derived for the Skyrme model on a compact manifold, for
the Faddeev-Skyrme model with a potential term, and for the
Aratyn-Ferreira-Zimerman and Nicole models.

18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int