Projective Superspace as a Double--Punctured Harmonic Superspace

TL;DR

This paper explores the connection between N=2 harmonic and projective superspaces, focusing on their roles in describing N=2 super Yang-Mills theories and analyzing the hypermultiplet effective action.

Contribution

It establishes the relationship between harmonic and projective superspaces, providing insights into their application in off-shell supermultiplet descriptions of N=2 theories.

Findings

Clarified the link between harmonic and projective superspaces

Discussed the structure of low-energy hypermultiplet effective action

Enhanced understanding of off-shell supermultiplet formulations

Abstract

We analyse the relationship between the N=2 harmonic and projective superspaces which are the only approaches developed to describe general N=2 super Yang-Mills theories in terms of off-shell supermultiplets with conventional supersymmetry. The structure of low-energy hypermultiplet effective action is briefly discussed.