Crystal Volumes and Monopole Dynamics
arXiv:1906.04454 · doi:10.1007/s00220-019-03556-8
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 hyperkaehler and non-compact. We establish a relation between the Kaehler 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.
arXiv comment36 pages, 3 figures, minor corrections
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