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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 174, Number 1, Pages 3–24
DOI: https://doi.org/10.4213/tmf8375 (Mi tmf8375) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Degenerating the elliptic Schlesinger system

G. Aminov, S. Arthamonov

Moscow Institute of Physics and Technology , Moscow, Russia
Full-text PDF (529 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf8375
Abstract: We study various ways of degenerating the Schlesinger system on the elliptic curve with $R$ marked points. We construct a limit procedure based on an infinite shift of the elliptic curve parameter and on shifts of the marked points. We show that using this procedure allows obtaining a nonautonomous Hamiltonian system describing the Toda chain with additional spin $\mathfrak{sl}(N,\mathbb C)$ degrees of freedom.
Keywords: integrable system, isomonodromic deformation, Schlesinger system, Toda chain, Inozemtsev limit.
English version:
Theoretical and Mathematical Physics, 2013, Volume 174, Issue 1, Pages 1–20
DOI: https://doi.org/10.1007/s11232-013-0001-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: G. Aminov, S. Arthamonov, “Degenerating the elliptic Schlesinger system”, TMF, 174:1 (2013), 3–24; Theoret. and Math. Phys., 174:1 (2013), 1–20
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf8375
  • https://www.mathnet.ru/eng/tmf/v174/i1/p3
    • 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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    Full-text PDF :194
    References:78
    First page:18
     
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