Interactions of N Goldstini in Superspace

TL;DR

This paper generalizes known N=1 goldstino theories to models with N non-linearly realized supersymmetries, demonstrating their equivalence and reformulating them using standard constrained superfields.

Contribution

It extends the formulation of goldstino theories to arbitrary N and proves their equivalence, providing a unified framework for models with multiple goldstini.

Findings

Unified description of N goldstini interactions

Explicit proof of equivalence among different formulations

Reformulation using standard N=1 constrained superfields

Abstract

We study field theories with N extended non-linearly realized supersymmetries, describing the couplings of models that contain N goldstini. We review all the known formulations of the N=1 goldstino theories and we generalize them to an arbitrary number N of non-linearly realized supersymmetries. We explicitly prove the equivalence of all these extended supersymmetry breaking models containing N goldstini and reformulate the theory with N supersymmetries in terms of standard N=1 constrained superfields.