Geodesic
Monopole solutions as three-dimensional generalizations of Kronecker
Teoretičeskaâ i matematičeskaâ fizika, Tome 172 (2012) no. 3, pp. 403-414

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We investigate the Dirac monopole on a three-dimensional torus as a solution of the Bogomolny equations with nontrivial boundary conditions. We show that a suitable analytic continuation of the obtained solution is a three-dimensional generalization of the Kronecker series, satisfies the corresponding functional equation, and is invariant under modular transformations.
Mots-clés : Bogomolny equation, monopole
Keywords: Kronecker series, modular invariance. 
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     author = {K. M. Bulycheva},
     title = {Monopole solutions as three-dimensional generalizations of {Kronecker}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {403--414},
     publisher = {mathdoc},
     volume = {172},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2012_172_3_a5/}
}
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K. M. Bulycheva. Monopole solutions as three-dimensional generalizations of Kronecker. Teoretičeskaâ i matematičeskaâ fizika, Tome 172 (2012) no. 3, pp. 403-414. http://geodesic.mathdoc.fr/item/TMF_2012_172_3_a5/