Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A ${\bf Z_2}$ Structure in the Configuration Space of Yang-Mills
  Theories   We argue for the presence of a ${\bf Z}_2$ topological structure in the space
of static gauge-Higgs field configurations of $SU(2n)$ and $SO(2n)$ Yang-Mills
theories. We rigorously prove the existence of a ${\bf Z}_2$ homotopy group of
mappings from the 2-dim. projective sphere ${\bf R}P^2$ into $SU(2n)/{\bf Z}_2$
and $SO(2n)/{\bf Z}_2$ Lie groups respectively. Consequently the symmetric
phase of these theories admits infinite surfaces of odd-parity static and
unstable gauge field configurations which divide into two disconnected sectors
with integer Chern-Simons numbers $n$ and $n+1/2$ respectively. Such a ${\bf
Z}_2$ structure persists in the Higgs phase of the above theories and accounts
for the existence of $CS=1/2$ odd-parity saddle point solutions to the field
equations which correspond to spontaneous symmetry breaking mass scales.

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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
2
The categories of this paper are: math
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The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph