TETRAHEDRAL AND CUBIC MONOPOLES

Citation
Cj. Houghton et Pm. Sutcliffe, TETRAHEDRAL AND CUBIC MONOPOLES, Communications in Mathematical Physics, 180(2), 1996, pp. 343-361
Citations number
10
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00103616
Volume
180
Issue
2
Year of publication
1996
Pages
343 - 361
Database
ISI
SICI code
0010-3616(1996)180:2<343:TACM>2.0.ZU;2-J
Abstract
Using a numerical implementation of the ADHMN construction, we compute the fields and energy densities of a charge three monopole with tetra hedral symmetry and a charge four monopole with octahedral symmetry. W e then construct a one parameter family of spectral curves and Nahm da ta which represent charge four monopoles with tetrahedral symmetry, wh ich 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 constru ct the energy density at various times during the motion.