Platonic Sphalerons in the Presence of a Dilaton Field

Details Platonic Sphalerons in the Presence of a Dilaton Field Platonic Sphalerons in the Presence of a Dilaton Field

2004-10-25

arxiv.org/abs/hep-th/0410238v1

Phys.Lett.B605:151-160,2005

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 5 figures

Scientific paper

10.1016/j.physletb.2004.11.009

We construct sphaleron solutions with discrete symmetries in Yang-Mills-Higgs theory coupled to a dilaton. Related to rational maps of degree N, these platonic sphalerons can be assigned a Chern-Simons number Q=N/2. We present sphaleron solutions with degree N=1-4, possessing spherical, axial, tetrahedral and cubic symmetry. For all these sphalerons two branches of solutions exist, which bifurcate at a maximal value of the dilaton coupling constant.

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