On charge-3 cyclic monopoles

H. W. Braden, Antonella D'Avanzo, Viktor Enolski

Research output: Contribution to journalArticlepeer-review

Abstract

We determine the spectral curve of charge-3 BPS su(2) monopoles with C-3 cyclic symmetry. The symmetry means that the genus 4 spectral curve covers a (Toda) spectral curve of genus 2. A well adapted homology basis is presented enabling the theta functions and monopole data of the genus 4 curve to be given in terms of genus 2 data. The Richelot correspondence, a generalization of the arithmetic mean, is used to solve for this genus 2 curve. Results of other approaches are compared.

Original languageEnglish
Pages (from-to)643-675
Number of pages33
JournalNonlinearity
Volume24
Issue number3
DOIs
Publication statusPublished - Mar 2011

Keywords

  • GEODESICS

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