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arXiv · 1203.4674

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

Ksenia Bulycheva
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Abstract

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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Ksenia Bulycheva. 2012-03-21. Monopole solutions to the Bogomolny equation as three-dimensional generalizations of the Kronecker series. https://doi.org/10.1007/s11232-012-0110-x

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