Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classical Gauge Vacua as Knots   The four dimensional O(3) non-linear sigma model introduced by Faddeev and
Niemi, with a Skyrme-like higher order term to stabilise static knot solutions
classified by the Hopf invariant, can be rewritten in terms of the complex
two-component CP1 variables. A further rewriting of these variables in terms of
SU(2) curvature free gauge fields is performed. This leads us to interpret
SU(2) pure gauge vacuum configurations, in a particular maximal abelian gauge,
in terms of knots with the Hopf invariant equal to the winding number of the
gauge configuration.

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The categories of this paper are: eess
37
The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas