SU(N) Monopoles and Platonic Symmetry

Conor Houghton, Paul Sutcliffe

Research output: Contribution to journalArticle (Academic Journal)peer-review

11 Citations (Scopus)
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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.
Original languageEnglish
Pages (from-to)5576-5589
Number of pages14
JournalJournal of Mathematical Physics
Issue number11
Publication statusPublished - Nov 1997

Bibliographical note

14pp, RevTex, two figures made of six Postscript files. To appear in the Journal of Mathematical Physics


  • hep-th


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