Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Geometric Algorithm to construct new solitons in the O(3) Nonlinear
  Sigma Model   The O(3) nonlinear sigma model with boundary, in dimension two, is
considered. An algorithm to determine all its soliton solutions that preserve a
rotational symmetry in the boundary is exhibited. This nonlinear problem is
reduced to that of clamped elastica in a hyperbolic plane. These solutions
carry topological charges that can be holographically determined from the
boundary conditions. As a limiting case, we give a wide family of new soliton
solutions in the free O(3) nonlinear sigma model.

21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin