A note on monopole moduli spaces

Abstract

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 $L^2$ metric is hyperKahler. 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.

17 pages, LaTeX

References in corpus (2)

• Asymptotic metrics for SU(N)-monopoles with maximal symmetry breaking
• Monopoles and the Gibbons-Manton metric

Cited by in corpus (5)

• Parameter counting for singular monopoles on R^3
• Index-like Theorem for Massless Fermions in Spherically Symmetric Monopole Backgrounds
• Dimension of monopoles on asymptotically conic 3-manifolds
• Magnetic Charge Lattices, Moduli Spaces and Fusion Rules
• A hyper-Kähler metric on the moduli spaces of monopoles with arbitrary symmetry breaking