Electric-Magnetic Duality and WDVV Equations

TL;DR

This paper demonstrates that the WDVV equations in Seiberg-Witten theory are covariant under electric-magnetic duality transformations, revealing new symmetry properties and their implications.

Contribution

It proves the covariance of WDVV equations under duality transformations, highlighting a novel symmetry in Seiberg-Witten theory.

Findings

WDVV equations are covariant under electric-magnetic duality

Duality transformations preserve associativity equations

Implications for symmetry in gauge theories

Abstract

We consider the associativity (or WDVV) equations in the form they appear in Seiberg-Witten theory and prove that they are covariant under generic electric-magnetic duality transformations. We discuss the consequences of this covariance from various perspectives.