Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moyal Deformation, Seiberg-Witten-Map, and Integrable Models   A covariant formalism for Moyal deformations of gauge theory and differential
equations which determine Seiberg-Witten maps is presented. Replacing the
ordinary product of functions by the noncommutative Moyal product,
noncommutative versions of integrable models can be constructed. We explore how
a Seiberg-Witten map acts in such a framework. As a specific example, we
consider a noncommutative extension of the principal chiral model.

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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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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: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph