Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-12-14
Phys.Lett. B476 (2000) 420-426
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 7 pp; minor corrections
Scientific paper
10.1016/S0370-2693(00)00076-9
Duality in the integrable systems arising in the context of Seiberg-Witten theory shows that their tau-functions indeed can be seen as generating functions for the mutually Poisson-commuting hamiltonians of the {\em dual} systems. We demonstrate that the $\Theta$-function coefficients of their expansion can be expressed entirely in terms of the co-ordinates of the Seiberg-Witten integrable system, being, thus, some set of hamiltonians for a dual system.
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