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arXiv · hep-th/0202007

Duality Transformations for Generalized WDVV equations in Seiberg-Witten theory

Luuk Hoevenaars
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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.

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Luuk Hoevenaars. 2002-02-01. Duality Transformations for Generalized WDVV equations in Seiberg-Witten theory. https://doi.org/10.1016/j.physletb.2004.09.050

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