On the construction of monopoles
Copyright policy )On the construction of monopoles
We show that any self-dual SU (2) monopole may be constructed either by Ward's twistor method, or Nahm's use of the ADHM construction. The common factor in both approaches is an algebraic curve whose Jacobian is used to linearize the non-linear ordinary differential equations which arise in Nahm's method. We derive the non-singularity condition for the monopole in terms of this curve and apply the result to prove the regularity of axially symmetric solutions.
- University of Oxford United Kingdom
Ward's construction, 53C80, holomorphic vector bundles, 53C05, Geometric quantization, 32L25, Applications of Lie groups to the sciences; explicit representations, 81E10, instantons, Applications of global differential geometry to the sciences, Nahm's equation
Ward's construction, 53C80, holomorphic vector bundles, 53C05, Geometric quantization, 32L25, Applications of Lie groups to the sciences; explicit representations, 81E10, instantons, Applications of global differential geometry to the sciences, Nahm's equation
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).203 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 1% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!