Duality in integrable systems and generating functions for new hamiltonians

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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 dual systems. We demonstrate that the Θ-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. (C) 2000 Published by Elsevier Science B.V.

Original languageEnglish
Pages (from-to)420-426
Number of pages7
JournalPhysics Letters B
Issue number3-4
Publication statusPublished - 16 Mar 2000
Externally publishedYes


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