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Platonic Sphalerons in the Presence of a Dilaton Field

Burkhard Kleihaus·Jutta Kunz·Kari Myklevoll
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Abstract

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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Burkhard Kleihaus, Jutta Kunz, Kari Myklevoll. 2004-10-25. Platonic Sphalerons in the Presence of a Dilaton Field. https://doi.org/10.1016/j.physletb.2004.11.009

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