Schlesinger transformations for elliptic isomonodromic deformations

Details Schlesinger transformations for elliptic isomonodromic deformations Schlesinger transformations for elliptic isomonodromic deformations

1999-10-20

arxiv.org/abs/solv-int/9910010v1

J.Math.Phys. 41 (2000) 3125-3141

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, LaTeX2e

Scientific paper

Schlesinger transformations are discrete monodromy preserving symmetry transformations of the classical Schlesinger system. Generalizing well-known results from the Riemann sphere we construct these transformations for isomonodromic deformations on genus one Riemann surfaces. Their action on the system's tau-function is computed and we obtain an explicit expression for the ratio of the old and the transformed tau-function.

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