Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hitchin's equations and integrability of BPS Z(N) strings in Yang-Mills
  theories   We show that Z(N) string's BPS equations are equivalent to the Hitchin's
equations (or self-duality equation) and also to the zero curvature condition.
We construct a general form for BPS Z(N) string solutions for arbitrary simple
gauge groups with non-trivial center. Depending on the vacuum solutions
considered, the Z(N) string's BPS equations reduce to different two dimensional
integrable field equations. For a particular vacuum we obtain the equation of
affine Toda field theory.

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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: math
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The categories of this paper are: physics
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The categories of this paper are: nucl-th