New aspects of N=2 theories

TL;DR

This paper reviews recent developments in N=2 supersymmetric theories, highlighting generalizations of vector multiplets and hypermultiplet scalar target spaces, with implications across multiple dimensions.

Contribution

It introduces a framework starting from equations of motion for N=2 theories, allowing more general Fayet-Iliopoulos terms and target space geometries.

Findings

Vector multiplets can have more general Fayet-Iliopoulos terms.

Hypermultiplet scalars can be coordinate functions on broader target spaces.

Results extend from five dimensions to other dimensions.

Abstract

We review some recent observations in theories with eight supercharges. We point out that such theories can be generalized by starting from the equations of motion rather than from an action. We show that vector multiplets constructed in such a way can have more general Fayet-Iliopoulos terms and that the scalar fields of hypermultiplets can be coordinate functions on more general target spaces. Although our discussion holds in five dimensions, the results can easily be extended to other dimensions.