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 sl(N, ℂ) degrees of freedom.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 174, No. 1, pp. 3–24, January, 2013.
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Aminov, G.A., Artamonov, S.B. Degenerating the elliptic Schlesinger system. Theor Math Phys 174, 1–20 (2013). https://doi.org/10.1007/s11232-013-0001-9
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DOI: https://doi.org/10.1007/s11232-013-0001-9