Platonic Sphalerons
arXiv:hep-th/0310300 · doi:10.1016/j.physletb.2003.12.036
Abstract
We construct sphaleron solutions in Weinberg-Salam theory, which possess only discrete symmetries. Related to rational maps of degree N, these sphalerons carry baryon number Q_B=N/2. The energy density of these sphalerons reflects their discrete symmetries. We present an N=3 sphaleron with tetrahedral energy density, an N=4 sphaleron with cubic energy density, and an N=5 sphaleron with octahedral energy density.
10 pages, including 2 figures, LaTex format
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- Gravitating Sphaleron-Antisphaleron Systems
- Excited Platonic Sphalerons in the Presence of a Dilaton Field
- Particle-like platonic solutions in scalar gravity
- Properties of Charged Rotating Electroweak Sphaleron-Antisphaleron Systems
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