Crystal Volumes and Monopole Dynamics

Sergey A. Cherkis, Rebekah Cross

Research output: Contribution to journalArticlepeer-review


The low velocity dynamic of a doubly periodic monopole, also called a monopole wall or monowall for short, is described by geodesic motion on its moduli space. This moduli space is hyperkähler and non-compact. We establish a relation between the Kähler potential of this moduli space and the volume of a region in Euclidean three-space cut out by a plane arrangement associated with each monowall.

Original languageEnglish (US)
Pages (from-to)503-529
Number of pages27
JournalCommunications in Mathematical Physics
Issue number1
StatePublished - Jul 1 2020

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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