Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of Noncommutative Instantons in 4k Dimensions   We consider generalized self-duality equations for U(2r) Yang-Mills theory on
R^{4k} with quaternionic structure and self-dual Moyal deformation. We employ
the extended ADHM method in 4k dimensions to construct new noncommutative
generalizations of the 't Hooft as well as of the BPST instantons. It is shown
that in the commutative limit the BPST-type configurations coincide with the
standard instantons on HP^n written in local coordinates.

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The categories of this paper are: chem-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th