Houghton, C.J. and Sutcliffe, P.M. (1997) SU(N) monopoles and Platonic symmetry. Journal of Mathematical Physics, 38 (11). pp. 5576-5589. ISSN 0022-2488.
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We discuss the ADHMN construction for SU(N) monopoles and show that a particular simplification arises in studying charge N - 1 monopoles with minimal symmetry breaking. Using this we construct families of tetrahedrally symmetric SU(4) and SU(5) monopoles. In the moduli space approximation, the SU(4) one-parameter family describes a novel dynamics where the monopoles never separate, but rather, a tetrahedron deforms to its dual. We find a two-parameter family of SU(5) tetrahedral monopoles and compute some geodesics in this submanifold numerically. The dynamics is rich, with the monopoles scattering either once or twice through octahedrally symmetric configurations.
|Subjects:||Q Science > QC Physics > QC20 Mathematical Physics
Q Science > QC Physics
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||M.A. Ziai|
|Date Deposited:||08 Jun 1914 09:40|
|Last Modified:||08 Jun 1914 09:40|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/18113 (The current URI for this page, for reference purposes)|
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