Duality Transformations for Generalized WDVV equations in Seiberg-Witten theory
High Energy Physics - Theory
2009-11-07 v1
Abstract
It is known that electric-magnetic duality transformations are symmetries of the generalized Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations. In Seiberg-Witten theory the solutions to these equations come in certain sets according to the gauge group. We show that the duality transformations transform solutions within a set to another solution within the same set, by using a subset of the Picard-Fuchs equations on the Seiberg-Witten family of Riemann surfaces. The electric-magnetic duality transformations can be thought of as changes of a canonical homology basis on the surfaces which in our derivation is clearly responsible for the covariance of the generalized WDVV system.
Cite
@article{arxiv.hep-th/0202007,
title = {Duality Transformations for Generalized WDVV equations in Seiberg-Witten theory},
author = {Luuk Hoevenaars},
journal= {arXiv preprint arXiv:hep-th/0202007},
year = {2009}
}
Comments
6 pages, Latex