Tetrahedral and Cubic Monopoles

Details Tetrahedral and Cubic Monopoles Tetrahedral and Cubic Monopoles

1996-01-26

arxiv.org/abs/hep-th/9601146v1

Commun.Math.Phys. 180 (1996) 343-362

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/BF02099717

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.

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