N=2 Supergravity and Special Geometry

TL;DR

This paper reviews the construction of vector multiplet couplings in N=2 supergravity via the conformal approach, highlighting the role of symplectic transformations and the conditions for a prepotential.

Contribution

It clarifies the conformal method for supergravity couplings and discusses a theorem on the existence of a basis with a prepotential.

Findings

Reiteration of the conformal approach to vector multiplet couplings

Explanation of symplectic transformations in duality

Discussion of a theorem on prepotential existence

Abstract

The essential elements in the construction of the couplings of vector multiplets to supergravity using the conformal approach are repeated. This approach leads automatically to the basic quantities on which the symplectic transformations, the basic tools for duality transformations, are defined. A recent theorem about the existence of a basis allowing for a prepotential is discussed.