Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incarnations of Instantons   Yang-Mills instantons in a pure Yang-Mills theory in four Euclidean space can
be promoted to particle-like topological solitons in d=4+1 dimensional
space-time. When coupled to Higgs fields, they transform themselves in the
Higgs phase into Skyrmions, lumps and sine-Gordon kinks, with trapped inside a
non-Abelian domain wall, non-Abelian vortex and monopole string, respectively.
Here, we point out that a closed monopole string, non-Abelian vortex sheet and
non-Abelian domain wall in $S^1$, $S^2$ and $S^3$ shapes, respectively, are all
Yang-Mills instantons if their $S^1$, $S^2$ and $S^3$ moduli, respectively, are
twisted along their world-volumes.

33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con