Monopole solutions to the Bogomolny equation as three-dimensional generalizations of the Kronecker series

Details Monopole solutions to the Bogomolny equation as three-dimensional generalizations of the Kronecker series Monopole solutions to the Bogomolny equation as three-dimensional generalizations of the Kronecker series

2012-03-21

arxiv.org/abs/1203.4674v1

Physics

Mathematical Physics

13 pages, 1 figure

Scientific paper

The Dirac monopole on a three-dimensional torus is considered as a solution
to the Bogomolny equation with non-trivial boundary conditions. The analytical
continuation of the obtained solution is shown to be a three-dimensional
generalization of the Kronecker series. It satisfies the corresponding
functional equation and is invariant under modular transformations.

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