2003/02/10 by Michael K. Murray, Michael A. Singer
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conjecture #Dimension (graph theory) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Magnetic monopole #Metric (unit) #Moduli #Moduli of algebraic curves #Moduli space #Space (punctuation) #math-ph #math.MP #msc:14D21 #msc:53C26
paper · pdf · doi:10.1063/1.1590056
published as J.Math.Phys.44:3517-3531,2003 · 17 pages, LaTeX
arxiv created 2003/02/10 · openalex publication_date 2003/07/24 · arxiv updated 2014/11/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We discuss the structure of the framed moduli space of Bogomolny monopoles for arbitrary symmetry breaking and extend the definition of its stratification to the case of arbitrary compact Lie groups. We show that each stratum is a union of submanifolds for which we conjecture that the natural L2 metric is hyper-Kähler. The dimensions of the strata and of these submanifolds are calculated, and it is found that for the latter, the dimension is always a multiple of four.