Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Atiyah-Manton Construction of Skyrmions in Eight Dimensions   We show that the eight-dimensional instanton solution, which satisfies the
self-duality equation $F \wedge F = *_8 F \wedge F$, realizes the static
Skyrmion configuration in eight dimensions through the Atiyah-Manton
construction. The relevant energy functional of the Skyrme field is obtained by
the formalism developed by Sutcliffe. By comparing the Skyrmion olution
associated with the extreme of the energy, with the Atiyah-Manton solution
constructed by the instantons, we find that they agree with high accuracy. This
is a higher-dimensional analogue of the Atiyah-Manton construction of Skyrmions
in four dimensions. Our result indicates that the instanton/Skyrmion
correspondence seems to be an universal property in $4k \ (k=1, 2, \ldots)$
dimensions.

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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat