Tetrahedral and cubic monopoles
Item Type:Journal Article
Citation:Houghton, Conor J. and Sutcliffe, Paul M. 'Tetrahedral and cubic monopoles' in Communications in Mathematical Physics, 180, (2), 1996, pp 342 - 362.
Tetrahedral and cubic monopoles.pdf (published arXiv version) 192.9Kb
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.
Author: HOUGHTON, CONOR JAMES
Publisher:Springer Science + Business Media
Type of material:Journal Article
Series/Report no:Communications in Mathematical Physics
Availability:Full text available
Keywords:Pure & Applied Mathematics