Crystal Volumes and Monopole Dynamics

Sergey A. Cherkis; Rebekah Cross

doi:10.1007/s00220-019-03556-8

Crystal Volumes and Monopole Dynamics

Sergey A. Cherkis, Rebekah Cross

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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 language	English (US)
Pages (from-to)	503-529
Number of pages	27
Journal	Communications in Mathematical Physics
Volume	377
Issue number	1
DOIs	https://doi.org/10.1007/s00220-019-03556-8
State	Published - Jul 1 2020

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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Crystal Volumes and Monopole Dynamics

Abstract

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