Excited Platonic Sphalerons in the Presence of a Dilaton Field
arXiv:hep-th/0509106 · doi:10.1016/j.physletb.2005.10.044
Abstract
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.
arXiv comment12 pages, 3 figures
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