A hyperk\"ahler submanifold of the monopole moduli space
Roger Bielawski
TL;DR
This paper identifies a specific 4[k/2]-dimensional hyperk"ahler submanifold within the larger moduli space of SU(2)-monopoles of charge k, enriching the geometric understanding of monopole solutions.
Contribution
It constructs and characterizes a new hyperk"ahler submanifold in the monopole moduli space, advancing the geometric analysis of monopole configurations.
Findings
Identification of a 4[k/2]-dimensional hyperk"ahler submanifold
Complete hyperk"ahler structure established
Relation to the moduli space of SU(2)-monopoles clarified
Abstract
We discuss a 4[k/2]-dimensional complete hyperk\"ahler submanifold of the (4k-4)-dimensional moduli space of strongly centred SU(2)-monopoles of charge k.
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