Duality in Integrable Systems and Generating Functions for New Hamiltonians

Abstract

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.

Latex, 7 pp; minor corrections

References in corpus (1)

• Seiberg-Witten Curves and Integrable Systems

Cited by in corpus (4)

• Seiberg-Witten curves and double-elliptic integrable systems
• Singular Phases of Seiberg-Witten Integrable Systems: Weak and Strong Coupling
• Twisted Six Dimensional Gauge Theories on Tori, Matrix Models, and Integrable Systems
• On the Quantization of a Self-Dual Integrable System