The Hypermultiplet in N = 2 Superspace

TL;DR

This paper explores the structure and construction of the hypermultiplet in N=2 superspace, detailing how to expand it with respect to the central charge and discussing the formulation of supersymmetric actions.

Contribution

It provides a complete expansion method for the hypermultiplet in N=2 superspace and shows how to construct supersymmetric actions using a reduced superspace integral.

Findings

Complete expansion of hypermultiplet with respect to central charge

Method to construct supersymmetric actions from a small superspace

Analysis of low-energy effective action in N=2 supersymmetry

Abstract

Global N=2 supersymmetry in four dimensions with a Fayet-Sohnius hypermultiplet and a complex central charge is studied in N = 2 superspace. It is shown how to construct the complete expansion of the hypermultiplet with respect to the central charge. In addition the low-energy effective action is discussed and it is shown that the `kernel' of the Lagrangian only needs an integration over a `small' superspace to construct a supersymmetric action.