Tetrahedral and Cubic Monopoles

Abstract

Using a numerical implementation of the ADHMN construction, we compute the fields and energy densities of a charge three monopole with tetrahedral symmetry and a charge four monopole with octahedral symmetry. We then construct a one parameter family of spectral curves and Nahm data which represent charge four monopoles with tetrahedral symmetry, which includes the monopole with octahedral symmetry as a special case. In the moduli space approximation, this family describes a novel kind of four monopole scattering and we use our numerical scheme to construct the energy density at various times during the motion.

uuencoded latex, 22 pages, 3 figures To appear in Communications in Mathematical Physics

References in corpus (2)

• Symetric Monopoles
• Octahedral and Dodecahedral Monopoles

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