Platonic Sphalerons

Details Platonic Sphalerons Platonic Sphalerons

2003-10-31

arxiv.org/abs/hep-th/0310300v1

Phys.Lett. B582 (2004) 187-195

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, including 2 figures, LaTex format

Scientific paper

10.1016/j.physletb.2003.12.036

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.

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