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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 172, Number 3, Pages 403–414
DOI: https://doi.org/10.4213/tmf6949 (Mi tmf6949) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Monopole solutions as three-dimensional generalizations of Kronecker series

K. M. Bulychevaab

a Moscow Physico-Technical Institute, Dolgoprudny, Moscow Oblast, Russia
b Institute for Theoretical and Experimental Physics, Moscow, Russia
Full-text PDF (512 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6949
Abstract: 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.
Keywords: Bogomolny equation, monopole, Kronecker series, modular invariance.
Received: 24.11.2011
Revised: 23.01.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 172, Issue 3, Pages 1232–1242
DOI: https://doi.org/10.1007/s11232-012-0110-x
Bibliographic databases:
Language: Russian
Citation: K. M. Bulycheva, “Monopole solutions as three-dimensional generalizations of Kronecker series”, TMF, 172:3 (2012), 403–414; Theoret. and Math. Phys., 172:3 (2012), 1232–1242
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf6949
  • https://www.mathnet.ru/eng/tmf/v172/i3/p403
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:62
    First page:28
     
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