Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Excited Platonic Sphalerons in the Presence of a Dilaton Field   We construct sphaleron solutions with discrete symmetries in Yang-Mills-Higgs
theory coupled to a dilaton. These platonic sphalerons are related to rational
maps of degree N. We demonstrate that, in the presence of a dilaton, for a
given rational map excited platonic sphalerons exist beside the fundamental
platonic sphalerons. We focus on platonic sphaleron solutions with N=4, which
possess cubic symmetry, and construct the two branches of their first
excitations. The energy density of these excited platonic sphalerons exhibits a
cube within a cube.

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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: math
36
The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph
1
The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat