Crystal Volumes and Monopole Dynamics
High Energy Physics - Theory
2019-10-02 v2 Differential Geometry
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.
Keywords
Cite
@article{arxiv.1906.04454,
title = {Crystal Volumes and Monopole Dynamics},
author = {Sergey Cherkis and Rebekah Cross},
journal= {arXiv preprint arXiv:1906.04454},
year = {2019}
}
Comments
36 pages, 3 figures, minor corrections