On Electromagnetic Duality in Locally Supersymmetric N=2 Yang--Mills Theory

TL;DR

This paper explores electromagnetic duality in N=2 Yang--Mills theory coupled with supergravity, emphasizing the geometric framework that describes monodromies, BPS spectra, and special geometry identities.

Contribution

It provides a symplectic and covariant geometric framework for analyzing dualities and monodromies in N=2 supergravity coupled Yang--Mills theories.

Findings

Describes the geometric structure of duality transformations.

Analyzes the spectrum of BPS states.

Connects special geometry with monodromies and dualities.

Abstract

We consider duality transformations in N=2 Yang--Mills theory coupled to N=2 supergravity, in a manifestly symplectic and coordinate covariant setting. We give the essential of the geometrical framework which allows one to discuss stringy classical and quantum monodromies, the form of the spectrum of BPS saturated states and the Picard--Fuchs identities encoded in the special geometry of N=2 supergravity theories.