1997/08/02 by Conor Houghton, Paul Sutcliffe
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Geometric and Algebraic Topology #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Symmetry (geometry) #Symmetry group #Theoretical physics #hep-th
paper · pdf · doi:10.1063/1.532152
published as J.Math.Phys. 38 (1997) 5576-5589 · 14pp, RevTex, two figures made of six Postscript files. To appear in the Journal of Mathematical Physics
arxiv created 1997/08/02 · openalex publication_date 1997/11/01 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
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.