Space-wave function duality and enhanced dKdV on a Riemann surface
Robert Carroll (Mathematics Dept., University of Illinois, Urbana, IL)

TL;DR
This paper explores the connections between space-wave function duality, enhanced dispersionless KdV equations, and Whitham dynamics on hyperelliptic Riemann surfaces, providing refinements and new insights related to Seiberg-Witten theory.
Contribution
It introduces refined relations and new ideas linking wave duality, integrable systems, and Riemann surface dynamics in the context of Seiberg-Witten theory.
Findings
Refined relations between wave duality and integrable systems.
New ideas on hyperelliptic Riemann surface dynamics.
Connections to Seiberg-Witten theory.
Abstract
For certain situations relations are indicated between the space-wave function duality of Faraggi-Matone, enhanced dispersionless KdV, and Whitham dynamics for appropriate hyperelliptic Riemann surfaces related to Seiberg-Witten theory. This paper gives refinements of hep-th/9702138 and some new ideas.
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